The unit circle is a circle of radius one suspended on any point on the circle’s circumference. The unit circle is used explicitly in trigonometry and is centered at the origin of a Cartesian plane. S1 denotes it because of its one-dimensional structure.

The point to be noted here is that all the trigonometric functions values depend on the unit circle. The interior of the unit circle is known as a unit disk. The word ‘’distance’’ can also describe the nature and the structure of the unit circles. Learn more about Trig identities to clear all the basic knowledge of Trigonometry.

## Interactive unit circle

The interactive unit circle connects the trigonometric functions tangent, cosine, and sine and the unit circle. The unit circle is a circle of radius one suspended in a particular quadrant of the coordinate system. The radius of a unit circle can be taken at any point at the perimeter of the circle.

It forms a right-angled triangle. The angle between this unit circle will be represented by angle θ To change a grade, simply click and drag the two control points. This unit circle has three functions.

**Cosine****Sine****Tangent**

The interaction between this unit circle and its corresponding functions is known as **interactive unit circles**. Before heading further, let’s first discuss some simple terminologies.

### Sine, Cosine and Tangent

**Cosine**

In a right-angled triangle, the ratio between base and hypotenuse is known as **cosineθ.** It is the most crucial trigonometric function of all. Mathematically, cosine is obtained by dividing the base of a right-angled triangle with its hypotenuse.

** Cosine = Base/Hyp **

**Secant**

The reciprocal of cosine is also used in some triangles. It is known as secant**θ** and is used in various numerical calculations. It is calculated by reciprocating cosine**θ** .

**Secant=1/cosine**

** 2. Sine**

Second and another fundamental trigonometric function is sine**θ.** Mathematically sine**θ** is calculated by dividing the perpendicular of a right-angled triangle with its hypotenuse.

Hence we can calculate the length or the angle of any structure with the above relation’s help.

** Sineθ = Perpendicular/Hypotenuse**

**Cosecant**As of cosine, the reciprocal of sine**θ**is known as cosecant**θ**. It is calculated by reciprocating sine or simply dividing it by 1.

** Cosecantθ=1/sinθ**

** 3. Tangent **

Third and another fundamental trigonometric function is known as tangent . As per sine**θ** and cosine**θ**, it is also obtained by a right-angled triangle. By dividing the perpendicular of a triangle with its base, we can easily calculate the value of tangent**θ** .

The mathematical formula of tangent**θ** is:

** Tangθ= Perp/Base**

**Cot**

The reciprocal of Tangent**θ** is known as cot**θ** . The value of cot can be calculated by reciprocating the value of tangent . The mathematical form of this equation is as stated below:

** Cotθ=1/Tangθ**

So, all the equations and the trigonometric functions can be understood by the following graph