Question

Let $f(x)=\sin ^{-1}(\sin x)+\cos ^{-1}(\cos x)$, then which one of the following is incorrect?

• A. Domain of $f(x)$ is $x \in R$.
• B. Range of $f ( x )$ is $[0, \pi]$
• C. $f(x)$ is periodic with period equal to $2 \pi$.
• D. $f ( x )$ is decreasing $\forall x \in(0,1)$.

Answer 1

Answer: (D)

Correct answer is (d) $f ( x )$ is decreasing $\forall x \in(0,1)$.