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[-1, 1] is the domain for which of the following inverse trigonometric functions?(a) sin^-1⁡x(b) cot^-1⁡x(c) tan^-1⁡x(d) sec^-1⁡xThis question was addressed to me at a job interview.I would like to ask this question from Inverse Trigonometric Functions Basics in section Inverse Trigonometric Functions of Mathematics – Class 12

Answer»

The CORRECT ANSWER is (a) sin^-1⁡x

Explanation: [-1, 1] is the DOMAIN for sin^-1⁡x.

The domain for cot^-1⁡x is (-∞,∞).

The domain for tan^-1⁡x is (-∞,∞).

The domain for sec^-1⁡x is (-∞,-1]∪[1,∞).



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