Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

$\mathrm{A}=\sin (\pi /2)=1;\mathrm{B}=3/4$. For C, if $\theta ={\sin }^{-1}(\sqrt{63}/8)$, then $\cos \theta =1/8$, so $\sin (\theta /4)=1/(2\sqrt{2})$ and ${\log }_2$ of it is $-3/2$. For D, the positive half-angle tangent is $(3-\sqrt{5})/2$, irrational.