Let the functions " f " and " g " be $\mathrm{f}:\left[0, \frac{\pi}{2}\right] \rightarrow \mathrm{R}$ given by $\mathrm{f}(\mathrm{x})=\sin \mathrm{x}$ and $\mathrm{g}:\left[0, \frac{\pi}{2}\right] \rightarrow \mathrm{R}$ given by $g(x)=\cos x$, where $R$ is the set of real numbers
Consider the following statements:
Statement (I): $f$ and $g$ are one-one
Statement (II): $\mathrm{f}+\mathrm{g}$ is one-one
Which of the following is correct?
- AStatement (I) is true, statement (II) is false
- BStatement (I) is false, statement (II) is true
- CBoth statements (I) and (I) are true
- DBoth statements (I) and (II) are false
✓ Correct answer: A
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