Question

Find the exact value of the expression. If undefined write undefined sin 7pi/6

Answer 1

Using the degree approach;

`\pi=180^o`

Then;

`\begin{gathered} \sin 7((\pi)/(6))=\sin 210^o \\ \sin 7((\pi)/(6))=-(1)/(2) \end{gathered}`

That is, the opposite is -1, and the hypotenuse is 2.

Also, following the image below;

Recall that;

`\begin{gathered} \sin \theta=(opposite)/(hypotenuse) \\ \end{gathered}`

The opposite side is the side facing the angle, and the side facing angle 30 is -1. Then the third side is the adjacent.

`\sin 7((\pi)/(6))=-(1)/(2)`