 # 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.