What Is The Value Of Sin 1 By 2?

Which is the principal value of sin − 1 1?

Therefore, the principal value of sin−1 ½ is π6..

How do you calculate sin?

Sin, Cos and TanThe sine of the angle = the length of the opposite side. the length of the hypotenuse.The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.The tangent of the angle = the length of the opposite side. the length of the adjacent side.

Is the value of sin 180 degree?

θsin θcos θ90°10180°0−1270°−10360°011 more row

What is sin 1 called?

Other Names. Sometimes sin-1 is called asin or arcsin. Likewise cos-1 is called acos or arccos. And tan-1 is called atan or arctan.

How do you find the principal value of a branch?

By definition, the range of the principal value branch of y = sec-1 x is [0,π ]\ {π /2} . Let us find y in [0,π ] – {π/2} such that sec y = -2 . But, sec y = −2 ⇒ cos y = − 1/2 . Now, cos y =- 1/2 = -cos π/3 = cos (π – π/3 ) = cos 2π/3 .

What is the value of sin pi by 2?

Trig Values on the unit circleABcos pi/20sin pi/21cos 2pi/3-1/2cos 3pi/4-sqroot2/247 more rows

How do you find the value of sin 1?

Hence, sin-1 (1) is equal to the angle whose sine is 1. Since the inverse sin-1 (1) is 90° or Π/2. ‘1’ denotes the maximum value of the sine function. Hence, for every 90 degrees it will happen, such as at Π/2, 3Π/2, and so on.

What is Sinπ?

The exact value of sin 180 is zero. Sine is one of the primary trigonometric functions which helps in determining the angle or sides of a right-angled triangle. It is also called trigonometric ratio.

What is the value of sin Pi by 3?

The exact value of sin(π3) sin ( π 3 ) is √32 .

What is the value of sin Pi by 6?

12Trigonometry Examples The exact value of sin(π6) sin ( π 6 ) is 12 .

How do you find the value of sin 75?

Sin(A+B) = Sin A Cos B + Cos A Sin B. Sin 75 = Sin ( 45 + 30) = Sin 45 Cos 30 + Cos 45 Sin 30. Sin 75 = (1 / √2) ( √3 / 2) + (1 / √2) ( 1 / 2) = [ √3 + 1] / 2√2.

What is the value of sin PI by 12?

Check by calculator. Calculator –> sin(π12)=sin15∘=0.26 .

What angle has a sine of 1 2?

Sines and cosines for special common anglesDegreesRadianssine60°π/3√3 / 245°π/4√2 / 230°π/61/20°001 more row

Is the value of sin 60?

The exact value of sin(60°) sin ( 60 ° ) is √32 .

How do you find the value of sin 18?

Exact Value of sin 18°How to find exact value of sin 18°?Let A = 18°Therefore, 5A = 90°⇒ 2A + 3A = 90˚⇒ 2θ = 90˚ – 3A.Taking sine on both sides, we get.sin 2A = sin (90˚ – 3A) = cos 3A.⇒ 2 sin A cos A = 4 cos^3 A – 3 cos A.More items…

What is the value of Cos Pi by 3?

12The exact value of cos(π3) cos ( π 3 ) is 12 .

What does principal value mean?

noun Mathematics. a value selected at a point in the domain of a multiple-valued function, chosen so that the function has a single value at the point.

What is the Arctan?

Arctan definition The arctangent of x is defined as the inverse tangent function of x when x is real (x∈ℝ). When the tangent of y is equal to x: tan y = x. Then the arctangent of x is equal to the inverse tangent function of x, which is equal to y: arctan x= tan-1 x = y.