CPM Homework Help : PC3 Problem 13-94

If $\sin(x)=\frac{3}{7}$ and $\sec(x)<0$ , determine the exact values of $\cos\left(x\right),\tan\left(x\right),\cot\left(x\right)$ , and $\sin\left(2x\right)$ .

Hint:

Draw a diagram. In which quadrant is $x$ ?

Possible diagram:

Right Triangle, vertical leg labeled 3, hypotenuse labeled 7, angle opposite vertical leg, labeled, x.

More Help:

Calculate the length of the missing side.

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