(a) The equation $-6\cos(\pi\theta)=5$ can be represented as intersection points of the two curves $y=5$ and $y=-6\cos(\pi\theta)$. Which of the following graphs below represents the equation $-6\cos(\pi\theta)=5$ as intersection points of these two curves on the interval $[-4, 4]$? Select A B C D None of the graphs below

(b) According to the graph you chose above, there are solutions to this equation on the interval $[-4,4]$.

(c) Solve $-6\cos(\pi\theta) = 5$ for all possible $\theta$.

where $n$ is any integer, and the base angles are the two smallest positive base angles.

(d) Use your answer to parts (a)-(c) to solve $-6\cos(\pi\theta) = 5$ for $\theta$ in $[-4, 4]$. Enter your answers as a comma separated list.
$\theta =$ .

For parts (c) and (d), use radian measure and enter your answers using at least four significant digits.

Hint: