Chapter Overview
This chapter focuses on the inverse of trigonometric functions and their principal values. It lays the foundation for solving trigonometric equations, understanding function behavior in restricted domains, and applying these concepts in calculus—particularly integration. It covers domain, range, identity relations, and properties that are vital for higher mathematics.
Important Keywords
- Inverse Trigonometric Function: Function that reverses the effect of a trigonometric function.
- Principal Value: A specific value selected from multiple possibilities of the inverse to make the function one-one.
- Domain: Set of permissible input values for the function.
- Range: Set of all possible outputs of a function.
- One-One Function: A function where each output corresponds to exactly one input.
- Identity: Equations involving inverse functions like sin⁻¹x + cos⁻¹x = π/2.
Detailed Notes
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