Unit Circle with Tangent

Introduction:

The Unit circle is used to understanding the sins and cos of angles to find 90 degree triangle. Unit circleis radius is exactly one. The center of circle is said to be origin and its perimeter comprises the set of all points that are exactly one unit from the center of the circle while placed in the plane.It s just a circle with radius ‘one’.

Unit Circle Standard Equation:

In unit circle: The distance from the origin point(x,y) is by using Pythagorean Theorem.

Here radius is one So, The expression should becomes =1

Take square on both sides then the equation  becomes,

X2+y2 =1

Positive angles are found using counterclockwise from the positive x axis

And negative angles are found anti clockwise from negative axis. Please express your views of this topic what is a line segment by commenting on blog.

The Graph of the Unit Circle with Tangent Function:

The  correspondence of  `theta` with tan  ` theta` , Here ` theta` is a real number  so, from the definition of tangent function,

tan `(theta)` = Sin `(theta)` /cos`(theta)`

Values for the tangent function can be created.  Above  is the unit circle.  Remember that the sine, cosine, and tangent are all built from this picture.  Hence, they are called circular functions.

These values are the angle measure (the value closest to the circle) and the tangent values.  So starting with angle 0, notice that the tangent value is 0.