Flashcards

Inverse Trigonometric Functions

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Question

What is the domain and principal value range of the function y=sin⁡−1xy = \sin^{-1} x?

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Answer

Domain: [−1,1][-1, 1]

Range (Principal Value Branch): [−π2,π2][-\frac{\pi}{2}, \frac{\pi}{2}]

This means for any value xx in [−1,1][-1, 1], its inverse sine will be an angle in the first or fourth quadrant.

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