### Home > INT3 > Chapter 12 > Lesson 12.1.4 > Problem12-60

12-60.

List all solutions to 2sin(x)cos(x) + cos(x) = 0. Give your answers in degrees or radians. Homework Help ✎

Factor out the cos(x) from the equation.

$\cos(x)(2 \sin(x)+1)=0$

Use the Zero Product Property to solve for x.

$\text{cos}(x) = 0 \text{ or 2 sin}(x) + 1 = 0$

Find all the solutions to these statements either using a unit circle or by graphing the functions on a graphing calculator. Do not just take this inverse on your calculator, it will only give you one possible solution. Remember, each of the 4 solutions repeats every 2πn radians.