### Home > CALC > Chapter 1 > Lesson 1.3.2 > Problem1-116

1-116.

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

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

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

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

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

Use the unit circle to solve for x.

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

See part (a).

See part (a).

See part (a).