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Cofunction Calculator
To use cofunction calculator, select the function, enter the angle, and click calculate
Table of Contents:
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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