CPM Homework Help : CALC Problem 1-116

Simplify the left side of the equation to solve for x.

Hint 1(a):

$\text{Remember that tan}x=\frac{\text{sin}x}{\text{cos}x} \text{ and }\text{csc}x=\frac{1}{\text{sin}x}.$

Hint 2(a):

Steps (a):

$\frac{\text{sin}x}{\text{cos}x}\cdot\frac{1}{\text{sin}x}=2$

$\frac{1}{\text{cos}x}=2$

$\text{cos}x=\frac{1}{2}$

Hint 3(a):

Use the unit circle to solve for x.

Answer (a):

$\frac{\pi }{3},\ \frac{5\pi }{3}$

Hint (b):

See part (a).

Hint (c):

See part (a).

Hint (d):

See part (a).