Question

Hey I need help with this practice problem Struggling to solve it The subject is trigonometry

Answer 1

$\cos (\sin ^{-1}(-\frac{1}{2}))+\tan ^{-1}(\cos (\pi))$

First, let's find the values of:

$\begin{gathered} \sin ^{-1}(-\frac{1}{2})=-30 \\ \cos (\pi)=-1 \end{gathered}$

So:

$\cos (-30)+\tan ^{-1}(-1)=\frac{\sqrt[]{3}}{2}-\frac{\pi}{4}=\frac{4\sqrt[]{3}-2\pi}{8}=\frac{2(2\sqrt[]{3}-\pi)}{2(4)}$

Simplify:

Answer:

$\frac{2\sqrt[]{3}-\pi}{4}$