Cofunction Calculator

Calculate trigonometric functions and their cofunctions

Enter an angle and select a trigonometric function to calculate both the function value and its cofunction identity.

Examples

  • sin(30°) = cos(60°) = 0.5
  • cos(45°) = sin(45°) = 0.707
  • tan(60°) = cot(30°) = 1.732
  • sec(0°) = csc(90°) = 1

Cofunction Identities

sin(θ) = cos(90° - θ), cos(θ) = sin(90° - θ), tan(θ) = cot(90° - θ), sec(θ) = csc(90° - θ), csc(θ) = sec(90° - θ), cot(θ) = tan(90° - θ)

Other Titles
Understanding Cofunction Calculator: A Comprehensive Guide
Explore trigonometric cofunctions, their identities, and applications in mathematics and engineering

Understanding Cofunction Calculator: A Comprehensive Guide

  • Cofunctions are pairs of trigonometric functions whose values are equal for complementary angles
  • The six trigonometric functions form three cofunction pairs
  • Cofunction identities are fundamental relationships in trigonometry
Cofunction identities represent fundamental relationships between trigonometric functions. Two functions are called cofunctions if their values are equal when their arguments are complementary angles (add up to 90°).
The three main cofunction pairs are: sine and cosine, tangent and cotangent, secant and cosecant. These relationships are essential for solving trigonometric equations and simplifying expressions.
Understanding cofunctions helps in recognizing patterns, solving triangles, and working with periodic functions in advanced mathematics and physics.

Cofunction Examples

  • sin(30°) = cos(60°) = 0.5
  • tan(45°) = cot(45°) = 1
  • sec(30°) = csc(60°) = 1.155