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in Mathematics by (57.7k points)

The function f (x) = sin−1 (cos x) is equal to : 

(a) discontinuous at x = 0 

(b) continuous at x = 0 

(c) differentiable at x = 0 

(d) none of these

1 Answer

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Best answer

Correct option (b) continuous at x = 0

Explanation:

∴ (LHL at x = 0) = (RHL at x = 0) = f (0) 

So, f (x) is continuous at x = 0

∴ (LHD at x = 0) = 1 and (RHD at x = 0) = −1 

Hence, f (x) is not differentiable at x = 0.

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