What is the sine of 60 degrees - VALUE OF SINE 60 DEGREES. Now we are clear with the introduction part, let us now calculate the trigonometric ratio of sine 60o. Consider an equilateral triangle ABC. Since, each angle in an equilateral triangle is 60 o, ∠ A = ∠ B = ∠ C = 60 o. Draw a perpendicular AD from A to side BC, as shown in the figure.

 
Sine of angle. Our sine of angle calculator makes it easy for you to find the sine of any angle. Simply enter the angle value into the calculator choose the between degrees or radians, and it will automatically calculate the sine of the angle for you. This tool is perfect for students, teachers, and anyone else who needs to calculate the sine .... Egypt and mesopotamia map

Trigonometry. Find the Exact Value sin (240 degrees ) sin(240°) sin ( 240 °) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant. −sin(60) - sin ( 60)Dec 13, 2019 ... Using the pythagorean theorem you get sqrt(3) for the missing leg, which means the sine of 60 degrees is sqrt(3)/2. Upvote 7. Downvote Share.The angles are determined using the primary functions of sin, cos, and tan, while the secondary functions of cosecant, secant, and cot are obtained from the primary functions. 0°, 30°, 45°, 60°, 90°, 180°, 270°, and 360° are the most common degrees.Pythagoras. Pythagoras' Theorem says that for a right angled triangle, the square of the long side equals the sum of the squares of the other two sides:. x 2 + y 2 = 1 2. But 1 2 is just 1, so:. x 2 + y 2 = 1 equation of the unit circle. Also, since x=cos and y=sin, we get: (cos(θ)) 2 + (sin(θ)) 2 = 1 a useful "identity" Important Angles: 30°, 45° and 60°. You …Online degrees allow busy people to continue their education. Find out what employers think of online degrees and how to evaluate online degree programs. Advertisement Earning a de...This video works to determine the exact values for the sin(30), cos(30), tan(30), sin(60), cos(60), and tan(60) using an equilateral triangle and the accompa...Get the values of the trigonometric ratios of angles measured in degrees, minutes and seconds. Get the values for sine, cosine, tangent, cosecant, cotangent, and secant. Sine = sin Cosine = cos Tangent = tan Cosecant = csc Secant = sec Cotangent = cot. Trig Functions Ratio's from Angles in Degrees.Step 1: Enter the values of any two angles and any one side of a triangle below which you want to solve for remaining angle and sides. Triangle calculator finds the values of remaining sides and angles by using Sine Law. Sine law states that. a sinA = b sinB = c sinC a sin A = b sin B = c sin C. Cosine law states that-.Sep 23, 2010 ... Trigonometry ratios for 30 and 60 degrees. YOUTUBE CHANNEL at https://www.youtube.com/ExamSolutions EXAMSOLUTIONS WEBSITE at ...Tangent function ( tan (x) ) The tangent is a trigonometric function, defined as the ratio of the length of the side opposite to the angle to the length of the adjacent side, in a right-angled triangle. It is called "tangent" since it can be represented as a line segment tangent to a circle. In the graph above, tan (α) = a/b and tan (β) = b/a.Cos 30°= Sin 60° = √3/2. Cos 45° = Sin 45° = 1/√2. Cos 60° = Sin 30° =½. Cos 90° = Sin 0° = 0. Tangent: Tan 0° = Sin 0°/Cos 0° = 0. Similarly, Tan 30° =1/√3. Tan 45° = 1. Tan 60° = √3. Tan 90° = ∞. For more information on sin 60° and other values of sin, cos, and tan, visit Vedantu's website and get practice questions ... Answer: sin (10°) = 0.1736481777. Note: angle unit is set to degrees. Use our sin (x) calculator to find the sine of 10 degrees - sin (10 °) - or the sine of any angle in degrees and in radians. Sine of angle. Our sine of angle calculator makes it easy for you to find the sine of any angle. Simply enter the angle value into the calculator choose the between degrees or radians, and it will automatically calculate the sine of the angle for you. This tool is perfect for students, teachers, and anyone else who needs to calculate the sine ... Trigonometry. Find the Exact Value sin (240 degrees ) sin(240°) sin ( 240 °) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant. −sin(60) - sin ( 60) Sine, Cosine and Tangent. Sine, Cosine and Tangent (often shortened to sin, cos and tan) are each a ratio of sides of a right angled triangle: For a given angle θ each ratio stays the same no matter how big or small the triangle is. To calculate them: Divide the length of one side by another side Explanation: For sin 120 degrees, the angle 120° lies between 90° and 180° (Second Quadrant ). Since sine function is positive in the second quadrant, thus sin 120° value = √3/2 or 0.8660254. . . ⇒ sin 120° = sin 480° = sin 840°, and so on. Note: Since, sine is an odd function, the value of sin (-120°) = -sin (120°).Jul 23, 2023 ... Sin 60° = √3/2 but why? || लेकिन कैसे ...The value of sine sixty degrees is an irrational number and its value is written in decimal form as follows. sin. ⁡. ( 60 °) = 0.8660254037 ⋯. sin. ⁡. ( 60 °) ≈ 0.866. In mathematics, the sine of angle sixty degrees can also be written in two other forms.How would you use the 60° angle to find sine and cosine of 120°, 240°, and 300°? What angles could we find sine and cosine for using information for π/4 and π/6? star. 5/5. heart. 1. If the cosine of an angle is twice the sine of that angle what is the value of the angles tangent?This cosine calculator is a twin tool to our sine calculator – add to them the tangent calculator, and you'll have a pack of the most popular trigonometric functions.Simply type the angle – in degrees or radians – and you'll find the cosine value instantly. Read on to understand what is a cosine and to find the cosine definition, as well as a neat table …The sine of 60 degrees, denoted as sin 60°, is equal to 0.866025404.Terms in this set (12) cosine 90 degrees. tangent 90 degrees. Study with Quizlet and memorize flashcards containing terms like sine 30 degrees, cosine 30 degrees, tangent 30 degrees and more.Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...Answer: sin (60°) = 0.8660254038. sin (60°) is exactly: √3/2. Note: angle unit is set to degrees. Use our sin (x) calculator to find the exact value of sine of 60 degrees - …Consider an acute angle in the trigonometric circle above: notice how you can build a right triangle where:. The radius is the hypotenuse; and; The sine and cosine are the catheti of the triangle.; α \alpha α is one of the acute angles, while the right angle lies at the intersection of the catheti (sine and cosine). Let this sink in for a moment: the …Simplify sin(60)+sin(30) Step 1. The exact value of is . Step 2. The exact value of is . Step 3. The result can be shown in multiple forms. Exact Form: Decimal Form: ...Question: Part C- Find the phasor transform of a sinusoidal source defined using the sine function What is the phasor transform of a current source described as i (t) 300sin (500t +60) mA? Express your answer as a complex number in polar form. The phase angle will be considered to be in degrees. Express your answer using three significant figures.The exact value of sin(60°) sin ( 60 °) is √3 2 3 2. √3 2 3 2. The result can be shown in multiple forms. Exact Form: √3 2 3 2. Decimal Form: 0.86602540… 0.86602540 … Free …To find the value of sin 405 degrees using the unit circle, represent 405° in the form (1 × 360°) + 45° [∵ 405°>360°] ∵ sine is a periodic function, sin 405° = sin 45°. Rotate ‘r’ anticlockwise to form a 45° or 405° angle with the positive x-axis.The angles are calculated with respect to sin, cos and tan functions. Usually, the degrees are considered as 0°, 30°, 45°, 60°, 90°, 180°, 270° and 360°. Here, we will discuss the value for sin 30 degrees and how to derive the sin 30 value using other degrees or radians. Sine 30 Degrees Value. The exact value of sin 30 degrees is ½.Make the expression negative because sine is negative in the fourth quadrant. Step 2. The exact value of is . Step 3. The result can be shown in multiple forms. Exact ...Online medical assistant programs make it easier and more convenient for people to earn a degree and start a career in the medical field, especially for those who already have jobs...Sine of angle. Our sine of angle calculator makes it easy for you to find the sine of any angle. Simply enter the angle value into the calculator choose the between degrees or radians, and it will automatically calculate the sine of the angle for you. This tool is perfect for students, teachers, and anyone else who needs to calculate the sine ... Use this sin calculator to easily calculate the sine of an angle given in degrees or radians. Calculating Sin(x) is useful in right triangles such as those formed by the heights in different geometric shapes. Answer: sin (70°) = 0.9396926208. Note: angle unit is set to degrees. Use our sin (x) calculator to find the sine of 70 degrees - sin (70 °) - or the sine of any angle in degrees and in radians.Express the ratios of sine, cosine and tangent for both ∠A and ∠B. Since m ∠ A = 22º is given, we know m ∠ B = 68º since there are 180º in the triangle. Notice that ∠ A and ∠ B are complementary (they add to 90º).sin 120° = √ (3)/2. sin 120 degrees = √ (3)/2. The sin of 120 degrees is √ (3)/2, the same as sin of 120 degrees in radians. To obtain 120 degrees in radian multiply 120° by π / 180° = 2/3 π. Sin 120degrees = sin (2/3 × π). Our results of sin120° have been rounded to five decimal places. If you want sine 120° with higher accuracy ...sin 120° = √ (3)/2. sin 120 degrees = √ (3)/2. The sin of 120 degrees is √ (3)/2, the same as sin of 120 degrees in radians. To obtain 120 degrees in radian multiply 120° by π / 180° = 2/3 π. Sin 120degrees = sin (2/3 × π). Our results of sin120° have been rounded to five decimal places. If you want sine 120° with higher accuracy ...Explanation: For sin 120 degrees, the angle 120° lies between 90° and 180° (Second Quadrant ). Since sine function is positive in the second quadrant, thus sin 120° value = √3/2 or 0.8660254. . . ⇒ sin 120° = sin 480° = sin 840°, and so on. Note: Since, sine is an odd function, the value of sin (-120°) = -sin (120°).Becky. We need to look at quadrants other than the first quadrant which has angles 0 to 90 o. The sin function is positive in the first and second quadrants ... so sin 50 o will be the same as sin 130 o.... (as in 180 o-50 o). The cos function is positive in the first and fourth quadrants ... so cos 50 o will be the same as cos 310 o ... (as in 360-50 o). …Answer: sin (37°) = 0.6018150232. Note: angle unit is set to degrees. Use our sin (x) calculator to find the sine of 37 degrees - sin (37 °) - or the sine of any angle in degrees and in radians.Chart. Examples. Find the exact value of sine of -60 degrees (negative)? sin (-60 ° )? sin (-60°) = -√3/2 (exactly) Sine Function Calculator. Cos. Tan. Deg to Rad. Rad to Deg. Use …The law of sines says that a / sin(30°) = b / sin(60°) = c / sin(90°). Plugging in the values of sines, we obtain 2a = 2b/√3 = c. Now, you can express each of a,b,c with the help of any other of them. For instance, b and c expressed with the help of a read: c = 2 × a and b = √3 × a. Law of sines calculator finds the side lengths and ... Answer: sin (10°) = 0.1736481777. Note: angle unit is set to degrees. Use our sin (x) calculator to find the sine of 10 degrees - sin (10 °) - or the sine of any angle in degrees and in radians. The value of sin 60 degrees is 3 2. Proof : Consider an equilateral triangle ABC with each side of length of 2a. Each angle of Δ ABC is of 60 degrees. Let AD be the perpendicular from A on BC. ∴ AD is the bisector of ∠ A and D is the mid-point of BC. ∴ BD = DC = a and ∠ BAD = 30 degrees.Answer: sin (10°) = 0.1736481777. Note: angle unit is set to degrees. Use our sin (x) calculator to find the sine of 10 degrees - sin (10 °) - or the sine of any angle in degrees and in radians.How would you use the 60° angle to find sine and cosine of 120°, 240°, and 300°? What angles could we find sine and cosine for using information for π/4 and π/6? star. 5/5. heart. 1. If the cosine of an angle is twice the sine of that angle what is the value of the angles tangent?In today’s digital age, the popularity of online education has skyrocketed. More and more individuals are pursuing their degrees through online programs, including those in the fie...sin (60°) = 0.866025. sin (75°) = 0.965926. sin (90°) = 1. Powered by mymathtables.com. More Trigonometric Pages. Table of Cotangent 0° to 90°. Table of Cotangent 91° to 180°. Table of Cotangent 181° to 270°.Explanation: For sin 120 degrees, the angle 120° lies between 90° and 180° (Second Quadrant ). Since sine function is positive in the second quadrant, thus sin 120° value = √3/2 or 0.8660254. . . ⇒ sin 120° = sin 480° = sin 840°, and so on. Note: Since, sine is an odd function, the value of sin (-120°) = -sin (120°).Trigonometric Sine Values Chart in Degrees. This table provides the sin values for each angle from 0° through 360°. α. 0°. 30°. 45°. 60°.Mar 17, 2022 ... Trigonometric Ratio 0 and 90 degree ... (1.5) Exact Trig Ratios for 30, 45, and 60 Degree Angles ... Trigonometric Functions: Sine, Cosine, Tangent, ...Important Angles: 30°, 45° and 60° You should try to remember sin, cos and tan for the angles 30 ° , 45 ° and 60 ° . Yes, yes, it is a pain to have to remember things, but it will make life easier when you know them, not just in exams, but other times when you need to do quick estimates, etc.Answer: sin (55°) = 0.8191520443. Note: angle unit is set to degrees. Use our sin (x) calculator to find the sine of 55 degrees - sin (55 °) - or the sine of any angle in degrees and in radians.Cosine of 90 Degrees Compared to Cosine of π/2 Radians. Open Live Script. cosd(90) ans = 0 cos(pi/2) ans = 6.1232e-17 Cosine of Complex Angles Specified in Degrees. Open Live Script. Create an array of three complex angles and compute the cosine. z = [180+i 45+2i 10+3i]; y = cosd(z)The only difference is that there, they are reversed. Therefore, we obtain our first alternative cosecant formula: \csc x = \sin^ {-1} {x} cscx = sin−1 x. Or, if you prefer fractions, \csc (x) = 1 / \sin (x) csc(x) = 1/sin(x) However, note that this does not mean that csc x is the inverse function of sin x. That would be arcsin, which takes ...Online degrees allow busy people to continue their education. Find out what employers think of online degrees and how to evaluate online degree programs. Advertisement Earning a de...The Trignometric Table of sin, cos, tan, cosec, sec, cot is useful to learn the common angles of trigonometrical ratios from 0° to 360°. Select degrees or radians in the drop down box …sin(60^@) = sqrt(3)/2color(white)("XX")csc(60^@) = 2/sqrt(3) cos(60^@) = 1/2color(white)("XXXX")sec(60^@) = 2 tan(60^@) = sqrt(3)color(white)("XXX")cot(60^@)=1/sqrt(3) Use the basic trigonometric definitions and the diagram below. Note: only the left half triangle is directly relevant; both sides combine to form an equilateral triangle from which (with the help of the Pythagorean Theorem) the ...Answer: sin (105°) = 0.9659258263. Note: angle unit is set to degrees. Use our sin (x) calculator to find the sine of 105 degrees - sin (105 °) - or the sine of any angle in degrees and in radians.sin ⁡ (45 °) = 2 / 2 \sin(45\degree) = \sqrt{2}/2 sin (45°) = 2 /2. Other interesting angles are 30 ° 30\degree 30° and 60 ° 60\degree 60°, as they appear in other special right triangles. For these angles, we have the sine of 30 and the sine of 60 degrees. sin ⁡ (30 °) = 1 / 2 \sin(30\degree) = 1/2 sin (30°) = 1/2So one way to think about it, the sine of-- we could just pick any arbitrary angle-- let's say, the sine of 60 degrees is going to be equal to the cosine of what? And I encourage you to pause the video and think about it. Well, it's going to be the cosine of 90 minus 60. It's going to be the cosine of 30 degrees. 30 plus 60 is 90.Sep 26, 2010 ... Tutorial on trigonometric ratios for positive multiples of 30, 45 and 60 degrees YOUTUBE CHANNEL at https://www.youtube.com/ExamSolutions ...Jun 14, 2023 ... Trigonometric Trick for finding sin 30 sin 45 sin 60 sin 0 sin 90. 2.3K ... How to evaluate for sine of 60 degrees using special right triangles.Click here 👆 to get an answer to your question ️ The sine of 30 degrees is 1/2. What is the cosine of 60 degrees? See what teachers have to say about ... Which of the following explains why Cosine 60 degrees = sine 30 degrees using the unit circle? verified. Verified answer. The sine of a 30 degree angle is equal to the cosine ...Simplify sin(60)+sin(30) Step 1. The exact value of is . Step 2. The exact value of is . Step 3. The result can be shown in multiple forms. Exact Form: Decimal Form: ...Step 4: Determine the value of tan. The tan is equal to sin divided by cos. tan = sin/cos. To determine the value of tan at 0° divide the value of sin at 0° by the value of cos at 0°. See the example below. tan 0°= 0/1 = 0. Similarly, the table would be. Angles (In Degrees) 0°. 30°.sin 35° = 0.57358. sin 35 degrees = 0.57358. The sin of 35 degrees is 0.57358, the same as sin of 35 degrees in radians. To obtain 35 degrees in radian multiply 35° by π / 180° = 7/36 π. Sin 35degrees = sin (7/36 × π). Our results of sin35° have been rounded to five decimal places. If you want sine 35° with higher accuracy, then use ...Tan 60° = AD/BD = √3 / 1 = √3. We can also write the value of cos 60 degrees in decimal form as: cos 60° = 1/2 = 0.5. Also, we can write the values of sine, cosine and tangent with respect to all the degrees in a table. Let us draw a table with respect to degrees and radians for sine, cosine and tangent functions. Make the expression negative because sine is negative in the fourth quadrant. Step 2. The exact value of is . Step 3. The result can be shown in multiple forms. Exact ... Jan 4, 2023 ... Find (in each case, given below) the value of x, if : sin x = sin 60^(@) cos 30^(@) - cos 60^(@) sin 30^(@) Class: 10 Subject: MATHS ...For sin 0 degrees, the angle 0° lies on the positive x-axis. Thus, sin 0° value = 0. Since the sine function is a periodic function, we can represent sin 0° as, sin 0 degrees = sin (0° + n × 360°), n ∈ Z. ⇒ sin 0° = sin 360° = sin 720°, and so on. Note: Since, sine is an odd function, the value of sin (-0°) = -sin (0°) = 0.Trigonometry Examples. Popular Problems. Trigonometry. Find the Exact Value sin(60-45) Step 1. Subtract from . Step 2. The exact value of is .Explanation: For sin 47 degrees, the angle 47° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 47° value = 0.7313537. . . ⇒ sin 47° = sin 407° = sin 767°, and so on. Note: Since, sine is an odd function, the value of sin (-47°) = -sin (47°).Revise trigonometric ratios of sine, cosine and tangent and calculate angles in right-angled triangles with this Bitesize GCSE Maths Edexcel guide.The law of sines and law of cosines are two different equations relating the measure of the angles of a triangle to the length of the sides. The laws apply to any triangle, not jus...cos 60° = ½. Example 2. Evaluate sin 30°. Answer. According to the property of cofunctions, sin 30° is equal to cos 60°. sin 30° = ½. On the other hand, you can see that directly in the figure above. Problem 1. Evaluate sin 60° and tan 60°. To see the answer, pass your mouse over the colored area. To cover the answer again, click ...As you can see from the above screenshot, the SIN function in Excel expects a number as an input. This number usually represents a value in radians. So, in this case, we will write “=SIN (1.0472)”, where 1.0472 is the radians equivalent of 60 degrees. Once we do this, we will get the SIN value of 60 degrees.So sin 30° = cos 60° = 1/2. Sine 30 degrees on the Unit Circle. Sine 30 degrees can be found on the unit circle as it is the y co-ordinate of the point that is 30 degrees from the positive direction of the x axis. As the y coordinate is 0.5, sin 30° = 0.5. Why is sine 150 degrees equal to sin 30 degrees? 150° = 180°-30°Simplify sin(60)+sin(30) Step 1. The exact value of is . Step 2. The exact value of is . Step 3. The result can be shown in multiple forms. Exact Form: Decimal Form: ...There’s a school of thought in the United States that says the only practical path through higher education is to earn a degree that immediately makes money. Or, at least, one that...Related Concepts. Trigonometry is a branch of mathematics concerned with relationships between angles and side lengths of triangles. In particular, the trigonometric functions relate the angles of a right triangle with ratios of its side lengths. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry ...However, remember that they work only for angles between 0 ° 0\degree 0° and 90 ° 90\degree 90°.The above formulas rely on the fact that the angles to either side of the = = = sign are complementary, i.e., they sum up to 90 ° 90\degree 90°.. In fact, there is a way to consider other angles as well.It is, however, tricky. Here, we had the …Learn about the relationship between the sine & cosine of complementary angles, which are angles who together sum up to 90°. We want to prove that the sine of an angle equals the cosine of its complement. sin. ⁡. ( θ) = cos. ⁡. ( 90 …For sin 70 degrees, the angle 70° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 70° value = 0.9396926. . . ⇒ sin 70° = sin 430° = sin 790°, and so on. Note: Since, sine is an odd function, the value of sin (-70°) = -sin (70°).Answer: sin (105°) = 0.9659258263. Note: angle unit is set to degrees. Use our sin (x) calculator to find the sine of 105 degrees - sin (105 °) - or the sine of any angle in degrees and in radians.Answer: sin (60°) = 0.8660254038. sin (60°) is exactly: √3/2. Note: angle unit is set to degrees. Use our sin (x) calculator to find the exact value of sine of 60 degrees - sin (60 °) - or the sine of any angle in degrees and in radians.The area of an equilateral triangle can be written as a squared sine (60 degrees).Option D is correct. What is an equilateral triangle? The triangle in which all three sides are of the same length.In this the all angles are the same 60°.. The area of a triangle can be calculated by,.....1. Where, A - Area of triangle . b - baseThe rule for inverse sine is derived from the rule of sine function which is: a/sin⁡(A) = b/sin⁡(B) = c/sin⁡(C) Now, we’ll derive the rule for side a, the rule for the remaining sides will be exactly the same a/sin⁡(A) = k a = sin (A) k Taking sin-1 on both sidesJan 18, 2024 · The sine of theta (sin θ) is the hypotenuse's vertical projection (green line); and; The cosine of theta (cos θ) is the hypotenuse's horizontal projection (blue line). We can rotate the radial line through the four quadrants and obtain the values of the trig functions from 0 to 360 degrees, as in the diagram below:

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what is the sine of 60 degrees

Trigonometry Examples. Popular Problems. Trigonometry. Find the Exact Value sin(60-45) Step 1. Subtract from . Step 2. The exact value of is .Jan 18, 2024 · As the arcsine is the inverse of the sine function, finding arcsin(1/2) is equivalent to finding an angle whose sine equals 1/2. On the unit circle, the values of sine are the y-coordinates of the points on the circle. Inspecting the unit circle, we see that the y-coordinate equals 1/2 for the angle π/6, i.e., 30°. In the sine function, value of angle θ is taken to give the ratio opposite/hypotenuse. However, inverse sine function takes the ratio opposite/hypotenuse and gives angle θ . sin -1 (opposite/hypotenuse) = θFor sin 70 degrees, the angle 70° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 70° value = 0.9396926. . . ⇒ sin 70° = sin 430° = sin 790°, and so on. Note: Since, sine is an odd function, the value of sin (-70°) = -sin (70°).Sine, Cosine and Tangent. Sine, Cosine and Tangent (often shortened to sin, cos and tan) are each a ratio of sides of a right angled triangle: For a given angle θ each ratio stays the same no matter how big or small the triangle is. To calculate them: Divide the length of one side by another sideMake the expression negative because sine is negative in the fourth quadrant. Step 2. The exact value of is . Step 3. The result can be shown in multiple forms. Exact ...From the above equations, we get sin 60 degrees exact value as √3/2. In the same way, we can find the values for cos and tan ratios. Therefore, …Sine Degrees Sine Radians Value of Sine Function (sin x) sin 0° sin 0: 0: sin 30° sin π/6: 1/2: sin 45° sin π/4: 1/√2: sin 60° sin π/3: √3/2: sin 90° sin π/2: 1: sin 120° sin 2π/3: √3/2: …How to use the trig ratios of special angles to find exact values of expressions involving sine, cosine and tangent values of 0, 30, 45, 60 and 90 degrees? Example: Determine the exact values of each of the following: a) sin30°tan45° + tan30°sin60°. b) cos30°sin45° + sin30°tan30°. Show Video Lesson.We know, using degree to radian conversion, θ in radians = θ in degrees × ( pi /180°) ⇒ 60 degrees = 60° × (π/180°) rad = π/3 or 1.0471 . . . ∴ sin 60° = sin (1.0471) = √3/2 or 0.8660254. . . Explanation: For sin 60 degrees, the angle 60° lies between 0° and 90° (First Quadrant ).For sin 69 degrees, the angle 69° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 69° value = 0.9335804. . . Since the sine function is a periodic function, we can represent sin 69° as, sin 69 degrees = sin (69° + n × 360°), n ∈ Z. ⇒ sin 69° = sin 429° = sin 789°, and so on..

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