### Home > CCA2 > Chapter 12 > Lesson 12.1.4 > Problem12-77

12-77.

Find all solutions to $2$ sin$(x)$ 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 $x$.

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

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.