### Home > PC3 > Chapter 5 > Lesson 5.2.2 > Problem5-69

5-69.

If $\sin(θ)=\frac{2}{3}$ and $\frac{\pi}{2}\leθ\le\pi$, what is $\cos(θ)$?

Draw a triangle diagram and label known sides.

Determine the length of the missing side.

Evaluate $\cos\left(θ\right)$. What sign should be used?