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Question

Mathematics Question on Inverse Trigonometric Functions

Domain of cos−1 [x]cos^{-1}\, [x] is

A

[−1,2][-1,2]

B

[−1,2)[-1,2)

C

(−1,2](-1,2]

D

None of these

Answer

[−1,2)[-1,2)

Explanation

Solution

0≤cos−1[x]≤π0 \le cos^{-1} \left[x\right] \le \pi −1≤[x]≤1-1 \le \left[x\right] \le 1 ⇒−1≤x<2\Rightarrow -1 \le x < 2 ⇒x∈[−1\Rightarrow x \in [-1, 2)2)