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?
$$ \sec ^2\left(\tan ^{-1} 2\right)+\operatorname{cosec}^2\left(\cot ^{-1} 3\right)= $$
$2 \cos ^{-1} x=\sin ^{-1}\left(2 x \sqrt{1-x^2}\right)$ is valid for all values of ' $x$ ' satisfying
Consider the following statements:
Statement (I): In a LPP, the objective function is always linear.
Statement (II): Ina LPP, the linear inequalities on variables are called constraints. Which of the following is correct?