### Home > INT3 > Chapter 12 > Lesson 12.2.2 > Problem12-91

12-91.
1. Without using a calculator, solve each equation below in the domain 0 ≤ x < 2π. Homework Help ✎

1. sin(x) = –1

2. 2cos(x) – 1 = 0

3. tan(x) = 1

4. 2sin(x) = 4sin(x) + 1

Reference the unit circle to help solve this problem.
For which angle(s) in the circle does sin(x) = −1.

$x=\frac{3\pi}{2}$

Solve the equation for cos(x).

$\cos(x) = \frac{1}{2}$

For which angle(s) in the unit circle does cos(x) = 1/2?

Refer to part (a).

How would you solve 2m= 4m + 1?
In this case m = sin(x).

$x=\frac{7\pi}{6},\frac{11\pi}{6}$