Table of Contents

## What is the exact value of sin 2pi?

sin 0

sin 2π = sin 0° = y-coordinate of (1, 0) = 0. Hence, sin 2π = 0.

### What is sin 2pi Theta?

sin(2π – θ) = -sinθ. cos(2π – θ) = +cosθ. tan(2π – θ) = -tanθ. cot(2π – θ) = -cotθ.

#### How is sine defined?

Definition of sine 1 : the trigonometric function that for an acute angle is the ratio between the leg opposite the angle when it is considered part of a right triangle and the hypotenuse.

**What does the sine function actually do?**

The sine function is defined as the ratio of the side of the triangle opposite the angle divided by the hypotenuse. This ratio can be used to solve problems involving distance or height, or if you need to know an angle measure.

**How do you evaluate sin Pi 2?**

The value of sin pi/2 can be calculated by constructing an angle of π/2 radians with the x-axis, and then finding the coordinates of the corresponding point (0, 1) on the unit circle. The value of sin pi/2 is equal to the y-coordinate (1). ∴ sin pi/2 = 1.

## How do you evaluate cos 2pi?

We can find the value of cos 2pi using the double angle formula of the cosine function, that is, cos 2x = cos2x – sin2x. We have cos 2pi = cos2π – sin2π.

### How do you solve cos 2pi?

We can find the value of cos 2pi using the double angle formula of the cosine function, that is, cos 2x = cos2x – sin2x. We have cos 2pi = cos2π – sin2π. Since π is not a standard angle we will determine the values of cos π and sin π using angle sum formulas.

#### Where does sine come from?

The word sine comes from the Latin sinus, bosom, because early translators mistook the Arabic word for chord and thought it was the Arabic word for bosom. The “co-” prefix in cosine and cotangent simply stands for co-angle, the complementary angle. The cosine of an angle is the sine of its complementary angle.

**How do you use sine?**

To solve a triangle is to find the lengths of each of its sides and all its angles. The sine rule is used when we are given either a) two angles and one side, or b) two sides and a non-included angle. The cosine rule is used when we are given either a) three sides or b) two sides and the included angle.