### Home > CCA2 > Chapter 12 > Lesson 12.2.2 > Problem 12-111

12-111.

Without using a calculator, solve each equation below in the domain 0 ≤ *x*< 2*π.*Homework Help ✎sin (

*x*) = −12 cos (

*x*) − 1 = 0tan (

*x*) = 12 sin (

*x*) = 4 sin (*x*) + 1

Reference the unit circle to help solve this problem.

For which angle(s) in the circle does sin(*x*) = −1.

Solve the equation for cos(x).

For which angle(s) in the unit circle does cos(*x*) = ^{1}/_{2}?

Refer to part (a).

How would you solve 2*m* = 4*m* + 1?

In this case *m* = sin(*x*).