Question

I need help with a trig question. i don't know how to do trig.

Answer 1

Given a right angle triangle:

As shown:

`\begin{gathered} SU=\sqrt[]{57} \\ ST=4 \\ TU=\sqrt[]{41} \end{gathered}`

We will find sin S

`\sin S=(opposite)/(hypotenuse)=(TU)/(SU)`

Substitute with TU and SU

So,

`\begin{gathered} \sin S=\frac{\sqrt[]{41}}{\sqrt[]{57}}*\frac{\sqrt[]{57}}{\sqrt[]{57}}=\frac{\sqrt[]{2337}}{57} \\ \\ \sin S=\frac{\sqrt[]{2337}}{57} \end{gathered}`