Chat with us
To calculate result you have to disable your ad blocker first.
Cofunction Calculator
To use cofunction calculator, select the function, enter the angle, and click calculate
ADVERTISEMENT
ADVERTISEMENT
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
ADVERTISEMENT