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

12-91.

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

*x*) = –12cos(

*x*) – 1 = 0tan(

*x*) = 12sin(

*x*) = 4sin(*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*).