Question

Find 5 Trig Values - Simplified Completely. Draw A Triangle In the Correct Quadrant. Label ALL Sides. What is sin(theta)= -2/5 and tan(theta) < 0?

Answer 1

2)

$\sin \theta\text{ = }\frac{-2}{5}$

We know that,

$\begin{gathered} sin\text{ }\theta=\frac{-2}{5}\text{ } \\ \theta\text{ = }\sin ^{-1}\frac{-2}{5} \\ \theta\text{ = -23.57} \end{gathered}$

Other values of theta: 203.57 ,

The angle is less than zero, hence the triangle is in the second or fourth quadrant.