## What is a Cofunction of Cos?

Two functions are called cofunctions if they are equal on complementary angles (angles that add up to 90 degrees or π/2 radians). Sine and cosine are examples of cofunctions (hence the “co” in cosine). The cofunction identities for sine and cosine are. cos(θ)=sin(π2−θ) and sin(θ)=cos(π2−θ) ⁡ ⁡ ( π 2 − θ ) and sin ⁡ ⁡

What is the exact value of cos 75?

0.258819045
The value of cos 75 degrees in decimal is 0.258819045. . .. Cos 75 degrees can also be expressed using the equivalent of the given angle (75 degrees) in radians (1.30899 . . .) ⇒ 75 degrees = 75° × (π/180°) rad = 5π/12 or 1.3089 . . . ∴ cos 75° = cos(1.3089) = (√6 – √2)/4 or 0.2588190. . .

### What is the Cofunction of Cos 58?

0.5299192
For cos 58 degrees, the angle 58° lies between 0° and 90° (First Quadrant). Since cosine function is positive in the first quadrant, thus cos 58° value = 0.5299192. . . Since the cosine function is a periodic function, we can represent cos 58° as, cos 58 degrees = cos(58° + n × 360°), n ∈ Z.

What is the exact value of sin 75 degrees?

0.9659
The value of sin 75° is equal to the y-coordinate (0.9659). ∴ sin 75° = 0.9659.

## How do you find cosine from sine?

Definition of cosine Generally, for any angle θ, cos θ = sin (90° – θ). cos θ = sin (π/2 – θ).

How do you find sin 75 without a calculator?

sin 75°: Now using the formula for the sine of the sum of 2 angles, sin(A + B) = sin A cos B + cos A sin B, we can find the sine of (45° + 30°) to give sine of 75 degrees.

### How do you find the value of sin 32?

⇒ 32 degrees = 32° × (π/180°) rad = 8π/45 or 0.5585 . . . Explanation: For sin 32 degrees, the angle 32° lies between 0° and 90° (First Quadrant). Since sine function is positive in the first quadrant, thus sin 32° value = 0.5299192. . .

How do you find cos 32?

The cos of 32 degrees is 0.84805, the same as cos of 32 degrees in radians. To obtain 32 degrees in radian multiply32° by / 180° = 8/45 . Cos 32degrees =cos (8/45 × .

## Which identity can be used to find sin 75?

sin 75 deg = sqrt 2 . (1 + sqrt3) / 4.

What is the Cofunction of sin 65?

Sin 65 degrees is the value of sine trigonometric function for an angle equal to 65 degrees. The value of sin 65° is 0.9063 (approx).