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

12-60.

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

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.