Determine all solutions for the following equations. For the base angle, choose an angle $0\leq\theta<2\pi$. If there are no solutions, type "NONE".
Hint: When solving these problems, think of how many angles (in a single oscillation on the graph) will satisfy the equation.

(a) $\sin(\theta) = 1$

(b) $\cos(\theta) = 2.02$

(c) $\cos(\theta) = 1$

(d) $\sin(\theta) = 0$

where $n$ is any integer.

Use radian measure and enter your answers using at least four significant digits.

What observations can be made while solving the above parts?

A. The sine and cosine functions intersect the lines $y=1$ and $y=-1$ twice on their first period.

B. The sine and cosine functions never intersect the line $y=k$ if $|k|>1$.

C. The function $\sin(\theta)$ intersects the line $y=0$ once on its first period, and the period is $\pi$, so all solutions will differ by multiples of $\pi$.

D. The function $\sin(\theta)$ intersects the line $y=0$ twice on its first period, but all solutions differ by multiples of $\pi$, so we can simplify how we write these solutions.

E. The sine and cosine functions only intersect the lines $y=1$ and $y=-1$ once on their first period.

F. The sine and cosine functions intersect the line $y=k$ twice on their first period if $|k|>1$.

Hint: