 # Cofunction Calculator

To use cofunction calculator, select the function, enter the angle, and click calculate

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## Cofunction Calculator

Cofunction calculator is used to calculate the cofunctions values of trigonometric angles. This Co-function calculator provides a Step-by-Step solution for every suitable input.

## What is the Cofunction?

A cofunction in trigonometry is a connection between two trigonometric functions that are connected by a complementary angle. In another way say that the cofunction of an angle is the trigonometric function of its complement. The angle is inputted as the sum of 90 degrees or π/2 radians for trigonometric angles.

### Formulas of cofunction

 Function Cofunction identity sine sin(x) = cos(90° - x) cosine cos(x) = sin(90° - x) tangent tan(x) = cot(90° - x) cotangent cot(x) = tan(90° - x) Secant sec(x) = csc(90° - x) cosecant csc(x) = sec(90° - x)

## How to calculate cofunction?

Here we explain a few examples of cofunctions of different trigonometric functions.

Example 1:

If the Angle is “270o” then find the Cofunction value of “sin(θ)” in terms of “degree”.

Solution:

Step 1: Write the given data from the problem.

θ = 270o, Cofunction of sin(θ) =?

Step 2: Write the formula of Cofunction of sin(θ).

sin(θ) = cos(90 − θ)

Step 3: Now put the values of the given data in the above expression.

sin(270o) = cos(90 − 270o)

sin(270o) = cos(-1800)

sin(270o) = cos(1800) as cos(-x) = cos(x)

sin(270o) = -1.0

Example 2:

If the Angle is “180o” then find the Cofunction of “cos(θ)” in terms of “degree”.

Solution:

Step 1: Write the given data from the problem.

θ = 180o, Cofunction of cos(θ) =?

Step 2: Write the formula of cofunction of cos(θ).

cos(θ)= sin(90 − θ)

Step 3: Now put the values of the given data in the above expression.

cos(180o) = sin(90 − 1800)

cos(180o) = sin(− 900)

cos(180o) = - sin(900) as sin(-x) = - sin(x)

cos(180o) = - 1.0

Example 3:

If the Angle is “1800” then find the Cofunction of “cos(θ)” in terms of “radians”.

Solution:

Step 1: Write the given data from the problem.

θ = 180o, Cofunction of cos(θ) =?

Step 2: Write the formula of cofunction of cos(θ).

cos(θ)= sin(π/2 − θ)

Step 3: Now put the values of the given data in the above expression.

cos(180o)= sin([π/2]  − 1800)

cos(180o)= sin(−178.42920367)

cos(180o)= - sin(178.42920367)

cos(180o)= - 0.5985

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