For the function $$f(x)=(\cos x)-x+1, x \in \mathbb{R}$$, between the following two statements (S1) $$f(x)=0$$ for only one value of $$x$$ in $$[0, \pi]$$. (S2) $$f(x)$$ is decreasing in $$\left[0, \frac{\pi}{2}\right]$$ and increasing in $$\left[\frac{\pi}{2}, \pi\right]$$.
JEE · Math · previous-year question
- A.Both (S1) and (S2) are incorrect.
- B.Only (S1) is correct.
- C.Only (S2) is correct.
- D.Both (S1) and (S2) are correct.
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