What is the sine of 60 degrees.

The 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 sides

What is the sine of 60 degrees. Things To Know About What is the sine of 60 degrees.

Solution. Step 1. Use the Sine Rule to find the missing angle opposite to one of the known sides. Here, we know the sides \hspace {0.2em} b \hspace {0.2em} b and \hspace {0.2em} c \hspace {0.2em} c and the angle B B. So we need to find angle C C.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 …Mar 3, 2015 ... Calculate exact values of sin 30, cos 30, tan 30, sin 45, cos 45, tan 45, sin 60, cos 60, tan 60 without using a calculator.Trigonometry. Find the Exact Value sin(120) Step 1. Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Step 2. 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.

18, sine, 60. Solve Evaluate. 9\sqrt{3}\approx 15.588457268 ... Your input 8*sin(60) is not yet solved by the Tiger Algebra Solver. please join our mailing list to be notified when this and other topics are added. ... Calculate the value of the sin of 6 radians To enter an angle in degrees, enter sin(6) or sin(6DEG) sin(6 radians) = -0. ...100*sin(60 degrees) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…

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...Therefore, Sin 30 degree equals to the fractional value of 1/ 2. Sin 30° = 1 / 2. Therefore, sin 30 value is 1/2. In the same way, we can derive other values of sin degrees like 0°, 30°, 45°, 60°, 90°,180°, 270° and 360°. Below is the trigonometry table, which defines all the values of sine along with other trigonometric ratios.

Take the 45 degree angle as an example. Make a table and calculate SIN of 45, 135, 225, 315, 405 degrees. Now that you have these use the calculator to take ASIN of the results. ... So in a 30 60 90 triangle, the side opposite to the square root of 3 over 2 is 60 degrees. This side over here is 30 degrees. So we know that our theta is-- This is ...Explanation: For sin 90 degrees, the angle 90° lies on the positive y-axis. Thus, sin 90° value = 1. Since the sine function is a periodic function, we can represent sin 90° as, sin 90 degrees = sin (90° + n × 360°), n ∈ Z. ⇒ sin 90° = sin 450° = sin 810°, and so on. Note: Since, sine is an odd function, the value of sin (-90 ... 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. 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 …Answer: sin (160°) = 0.3420201433. Note: angle unit is set to degrees. Use our sin (x) calculator to find the sine of 160 degrees - sin (160 °) - or the sine of any angle in degrees and in radians.

Therefore, the exact value of sin 60 degrees is √3/2. Cos 0° = Sin 90° = 1. Cos 30°= Sin 60° = √3/2. Cos 45° = Sin 45° = 1/√2. Cos 60° = Sin 30° =1/2. Cos 90° = Sin 0° = 0. Also, Tan 0° = Sin 0°/Cos 0° = 0. Tan 30° = Sin 30°/Cos 30° =1/√3. Tan 45° = Sin 45°/Cos 45° = 1. Tan 60° = Sin 60°/Cos 60° = √3

Jul 23, 2023 ... Sin 60° = √3/2 but why? || लेकिन कैसे ...

Solution: To find the value of sin 135°, we will use the angle sum property of sine given by, sin (a + b) = sin a cos b + sin b cos a and the sine values. Assume a = 90° and b = 45°. Then, from the sine table, we have sin 90° = 1, sin 45° = 1/√2, cos 90° = 0, and cos 45° = 1/√2.sin(90° + 60°) = sin 150° sin(90° - 60°) = sin 30° Cos 60 Degrees Using Unit Circle. To find the value of cos 60 degrees using the unit circle: Rotate ‘r’ anticlockwise to form 60° angle with the positive x-axis. The cos of 60 degrees equals the x-coordinate(0.5) of the point of intersection (0.5, 0.866) of unit circle and r.30° and 60° The values of sine and cosine of 30 and 60 degrees are derived by analysis of the equilateral triangle. In an equilateral triangle, the 3 angles are equal and sum to 180°, therefore each corner angle is 60°. Bisecting one corner, the special right triangle with angles 30-60-90 is obtained.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 - baseCosine 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)Therefore, the exact value of sin 60 degrees is √3/2. Cos 0° = Sin 90° = 1. Cos 30°= Sin 60° = √3/2. Cos 45° = Sin 45° = 1/√2. Cos 60° = Sin 30° =1/2. Cos 90° = Sin 0° = 0. Also, Tan 0° = Sin 0°/Cos 0° = 0. Tan 30° = Sin 30°/Cos 30° =1/√3. Tan 45° = Sin 45°/Cos 45° = 1. Tan 60° = Sin 60°/Cos 60° = √3Cos 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 ...

To convert degrees to radians, multiply by π 180° π 180 °, since a full circle is 360° 360 ° or 2π 2 π radians. The exact value of sin(60) sin ( 60) is √3 2 3 2. Multiply √3 2 ⋅ π 180 3 2 ⋅ π 180. Tap for more steps... Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework ...Sep 14, 2020 ... As 𝑥 lies between these values, it is worth recalling our special angle values: the sin, cos, and tan of 30, 45, 60 degrees. The sin of 30 ... 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. 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.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.Jun 7, 2021 · Find an angle θ with 0∘ < θ < 360∘ that has the same: sine as 30°:∅= degrees cosine as 30°:∅= degrees The sine of a 30 degree angle is equal to the cosine of a _____ degree angle. 30 45 15 60 Trigonometry Examples. Popular Problems. Trigonometry. Find the Exact Value sin(60-45) Step 1. Subtract from . Step 2. The exact value of is .

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). …For sin 33 degrees, the angle 33° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 33° value = 0.5446390. . . Since the sine function is a periodic function, we can represent sin 33° as, sin 33 degrees = sin (33° + n × 360°), n ∈ Z. ⇒ sin 33° = sin 393° = sin 753°, and so on.

For sin 33 degrees, the angle 33° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 33° value = 0.5446390. . . Since the sine function is a periodic function, we can represent sin 33° as, sin 33 degrees = sin (33° + n × 360°), n ∈ Z. ⇒ sin 33° = sin 393° = sin 753°, and so on. Answer: sin (30°) = 0.5. sin (30°) is exactly: 1/2. Note: angle unit is set to degrees. Online sine calculator. Accepts values in radians and in degrees. Free online sine calculator. sin (x) calculator. cos 60° = 0.5. cos 60 degrees = 0.5. The cos of 60 degrees is 0.5, the same as cos of 60 degrees in radians. To obtain 60 degrees in radian multiply 60° by π / 180° = 1/3 π. Cos 60degrees = cos (1/3 × π). Our results of cos60° have been rounded to five decimal places. If you want cosine 60° with higher accuracy, then use the calculator ...Ans: The value of cos (60°) and sin (30°) is the same, 1/2. 30° and 60° The values of sine and cosine of 30 and 60 degrees are derived by analysis of the equilateral triangle. In an equilateral triangle, the 3 angles are equal and sum to 180°, therefore each corner angle is 60°. Bisecting one corner, the special right triangle with angles 30-60-90 is obtained. 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 ...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 ...

Jun 23, 2011 · sin 45°: You may recall that an isosceles right triangle with sides of 1 and with hypotenuse of square root of 2 will give you the sine of 45 degrees as half the square root of 2. sin 30° and sin 60°: An equilateral triangle has all angles measuring 60 degrees and all three sides are equal. For convenience, we choose each side to be length 2.

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)

B. When would two sine functions of the form y = sin (x - h) that have different values for h have the same graph? Explain. Whenever their h values differ by a multiple of the period of the sine function. Since sine has period 2pi, it would happen when the values differ by a multiple of 2pi. Changes in Period and Phase Shift of Sine and Cosine ...Find an angle θ with 0∘ < θ < 360∘ that has the same: sine as 30°:∅= degrees cosine as 30°:∅= degrees The sine of a 30 degree angle is equal to the cosine of a _____ degree angle. 30 45 15 60Trigonometry Examples. Popular Problems. Trigonometry. Find the Exact Value cos(60 degrees ) Step 1. The exact value of is . Step 2. The result can be shown in ... Free math problem solver answers your trigonometry homework questions with step-by-step explanations. 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 ...Explanation: For sin 35 degrees, the angle 35° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 35° value = 0.5735764. . . ⇒ sin 35° = sin 395° = sin 755°, and so on. Note: Since, sine is an odd function, the value of sin (-35°) = -sin (35°).The 30-60-90 and 45-45-90 triangles are used to help remember trig functions of certain commonly used angles. For a 30-60-90 triangle, draw a right triangle whose other two angles are approximately 30 degrees and 60 degrees. The sides are 1, 2 and the square root of 3. The smallest side (1) is opposite the smallest angle (30 degrees).Jul 3, 2022 ... Q110 | Evaluate: tan 60 degree / sin 60 degree + cos 30 degree | tan 60 / sin 60 + cos 30. 1.1K views · 1 year ago ...more. GRAVITY COACHING ...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 ).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° 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.

How do you find the value of #sin 60#? Trigonometry Right Triangles Trigonometric Functions of Any Angle. 1 Answer Gió Apr 25, 2018 I tried this: Explanation: Have a look: Answer link. Related questions. How do … Trigonometry Examples. Popular Problems. Trigonometry. Evaluate sin(60 degrees ) Step 1. The exact value of is . Step 2. The result can be shown in multiple forms ... Online degree programs are becoming increasingly popular for those looking to further their education without having to attend a traditional college or university. With so many onl...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.Instagram:https://instagram. how old is ali vitaliforever 21 comenity bank loginenclave apartments greensboromgm rewards holiday gift points Not every master's degree yields the same financial return — so which are the most worth it? By clicking "TRY IT", I agree to receive newsletters and promotions from Money and its ... how do i renew my illinois driver's licenseproject zomboid how to teleport player Sine Calculator. In mathematics, the sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the … how to riposte elden ring 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 - … 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.