Question

Find sinif tan0 = -√3 is in the second quadrant.OA. 1/1/0OB.-3OC-1/2/2C.OD. VReset Selection

Answer 1

ANSWER:

D. √3/2

STEP-BY-STEP EXPLANATION:

We have the following expression:

$\tan\theta=-\sqrt{3}$

Determine the angle to then evaluate in sine just like this:

$\begin{gathered} \theta=\tan^{-1}(-\sqrt{3}) \\ \\ \theta=120\degree \\ \\ \text{ Therefore:} \\ \\ \sin120\degree=\frac{\sqrt{3}}{2} \end{gathered}$

Therefore, the correct answer is option D. √3/2