CPM Homework Help : PCT Problem 11-91

If $\sin x = \frac { 3 } { 7 }$ and $x \in [ \frac { \pi } { 2 } , \pi ]$ , find the exact values of $\cos x$ , $\tan x$ , $\cot x$ , and $\sin 2x$ .

Hint 1:

Draw a diagram.

Possible diagram:

Right triangle, hypotenuse labeled 7, vertical leg labeled 3.

Hint 2:

Find the length of the missing side.

Then find the exact values of the other trigonometric functions.
Make sure to pay attention to the quadrant.