Question

I need help with this practice problem Having a tough time completing step by step

Answer 1

we have the expression

`(cos(sin^(-1)((1)/(2))))/(tan(cos^(-1)(-(1)/(2))))`

step 1

Find out the value of sin^-1 (1/2) and cos^-1(-1/2)

`\begin{gathered} sin^(-1)((1)/(2))=30^o \\ cos^(-1)(-(1)/(2))=120^0 \end{gathered}`

substitute in the original expression

`(cos(30^o))/(tan(120^o))=-(1)/(2)`

Therefore

The answer is -1/2