Case Study: Inverse Trigonometric Functions
Ravi, a Class 12 student, is preparing for his final mathematics examination. While studying inverse trigonometric functions, he encounters a variety of problems involving the domain, range, and principal values of these functions. Ravi realizes that understanding the principal value branches and their respective domains is critical in solving such problems correctly.He also learns that many expressions involving inverse trigonometric functions can be simplified using identities such as $\sin^{-1}x + \cos^{-1}x = \frac{\pi}{2}$ and others. The following questions are based on Ravi’s learning journey and the concepts discussed.