# What is the formula for a unit circle?

## What is the formula for a unit circle?

The unit circle is the circle of radius 1 that is centered at the origin. The equation of the unit circle is x2+y2=1.

## What is unit circle in trigonometry?

The unit circle is the circle whose center is at the origin and whose radius is one. If a point on the circle is on the terminal side of an angle in standard position, then the sine of such an angle is simply the y-coordinate of the point, and the cosine of the angle is the x-coordinate of the point.

What is the radius of this circle trigonometry?

Determine the radius of the circle. The equation of a circle with its center at the origin is x2 + y2 = r2. Replacing the x and y in this equation with –5 and 12, respectively, you get (–5)2 + (12)2 = 25 + 144 = 169 = r2. The square root of 169 is 13, so the radius is 13.

Why is cos60 negative?

Since the angle makes with is anticlockwise, it is taken as positive and the other is clockwise, so it is taken as negative. A positive angle conventionally means anticlockwise direction and a negative angle means clockwise direction.

### What are the six trigonometry functions?

The six main trigonometric functions are sine, cosine, tangent, secant, cosecant, and cotangent. They are useful for finding heights and distances, and have practical applications in many fields including architecture, surveying, and engineering.

### What is the unit circle in trigonometry?

In mathematics, a unit circle is a circle of unit radius – that is, a radius of 1. Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.

What is the formula for an unit circle?

sin 2 θ+cos 2 θ = 1

• 1+tan 2 θ = sec 2 θ
• 1+cot 2 θ = cosec 2 θ
• What are the functions of trigonometry?

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are functions of an angle. They relate the angles of a triangle to the lengths of its sides. Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications.

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