Chapter 36.3
Mastering Cofunction Identities in Trigonometry
Discover the power of cofunction identities to simplify trigonometric expressions and solve complex problems. Learn how these relationships between complementary angles can revolutionize your approach to trigonometry.
What You'll Learn
Recognize that sine and cosine, tangent and cotangent, secant and cosecant are cofunction pairs
Apply the complementary angle relationship: sin(θ) = cos(90° - θ) or sin(θ) = cos(π/2 - θ)
Convert trig functions to their cofunctions using 90° or π/2 minus the angle
Solve equations by setting cofunction expressions equal to complementary angles
What You'll Practice
1
Rewriting sine, cosine, tangent expressions as their cofunctions
2
Finding complementary angles in both degrees and radians
3
Solving equations where cofunctions equal each other
4
Working with expressions containing π/2 and fractional radian measures
Why This Matters
Cofunction identities reveal deep symmetries in trigonometry that simplify complex problems throughout precalculus and calculus. Understanding these relationships helps you transform equations, verify identities, and recognize patterns in trigonometric expressions you'll encounter in physics, engineering, and advanced mathematics.
Before You Start — Make Sure You Can:
This Unit Includes
5 Video lessons
Practice exercises
Learning resources
Skills
Cofunction Identities
Complementary Angles
Trigonometric Functions
Sine and Cosine
Radians
Equation Solving
OH Curriculum Aligned
