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If -1lexle0 then sin^(-1)x equals...

If `-1lexle0` then `sin^(-1)x` equals

A

`pi-sin^(-1)sqrt(1-x^(2))`

B

`tan^(-1)((x)/sqrt(1-x^(2)))`

C

`-cot^(-1)(sqrt(1-x^(2))/(x))`

D

none of these

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To solve the problem, we need to find the value of \( \sin^{-1} x \) given that \( -1 \leq x \leq 0 \). ### Step-by-Step Solution: 1. **Understanding the Function**: The function we are dealing with is \( \sin^{-1} x \), also known as the arcsine function. The domain of this function is \( -1 \leq x \leq 1 \). 2. **Identifying the Range**: ...
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OBJECTIVE RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS -Section I - Solved Mcqs
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