Module 6: Trigonometric Equations
Solve trig equations using algebraic techniques, identities, and inverse functions.
Learning Objectives
- Solve basic trig equations on [0, 2π) and on (−∞, ∞)
- Apply identities to reduce equations to solvable form
- Handle equations with multiple angles
- Define and evaluate inverse trig functions
Module Lessons
1
Solving Basic Trig Equations
Find solutions to equations like 2sinθ − 1 = 0 on [0, 2π) and for all real numbers.
2
Solving Equations Using Identities
Use Pythagorean and double-angle identities to simplify and solve trig equations.
3
Equations Involving Multiple Angles
Solve equations like sin(2x) = √3/2 and cos(3x) = 0.
4
Inverse Trig Functions
Define sin¹, cos¹, tan¹ with restricted domains and evaluate compositions.