CPM Homework Help : PC3 Problem 3-127

If $\sin(\theta)=\frac{5}{13}$ and $\frac{\pi}{2}\leθ\le\pi$ , sketch a triangle to match this situation and then evaluate $\cos(θ)$ and $\tan(θ)$ .

Hint 1:

Draw and label a right triangle in the correct quadrant.

More Help:

Calculate the length of the unknown side.
(Or you may know it because it is a Pythagorean Triple!) When you label it, think about if it should be positive or negative.

Hint 2:

From the side lengths, you can determine cos(θ) and tan(θ).

Coordinate graph, with right triangle in third quadrant, horizontal leg, is negative x axis, vertical leg labeled, 5, hypotenuse, labeled 13.