# What are the 6 trigonometric functions?

## What are the 6 trigonometric functions?

There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

## Which of the six trigonometric functions are positive in each quadrant of the unit circle?

All the trig functions are positive in Quadrant 1. Sine and cosecant are positive in Quadrant 2, tangent and cotangent are positive in Quadrant 3, and cosine and secant are positive in Quadrant 4.

How do you find sine and cosine on the unit circle?

Using the unit circle, the sine of an angle t equals the y-value of the endpoint on the unit circle of an arc of length t whereas the cosine of an angle t equals the x-value of the endpoint. The sine and cosine values are most directly determined when the corresponding point on the unit circle falls on an axis.

### What are the functions of trigonometry?

Trigonometry functions. The main trigonometric functions are sine, cosine, and tangent, often written as sin(x), cos(x), and tan(x). The common thing for them is that they express the ratios between different sides of a right-angled triangle, from the point of view of the angle of interest, and thus some of them are transformations of the others.

### What is the tangent in an unit circle?

The tangent function is a periodic function which is very important in trigonometry. The simplest way to understand the tangent function is to use the unit circle. For a given angle measure θ draw a unit circle on the coordinate plane and draw the angle centered at the origin, with one side as the positive x -axis.

What is the sine of a circle?

Verified by Expert. 1) Amplitud: in the unit circle, sine is defined as the length of the vertical projection of the (vetical axis) of the point that defines the angle. Whose maximum value is 1, which is the amplitud of the sine function.