Question

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

Answer 1

`\cos (\sin ^(-1)(-(1)/(2)))+\tan ^(-1)(\cos (\pi))`

First, let's find the values of:

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

So:

`\cos (-30)+\tan ^(-1)(-1)=\frac{\sqrt[]{3}}{2}-(\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}`