A. Solve the following initial value problem: $$\cos(t)^2 \frac{dy}{dt} = 1$$ with $y( 7 ) = \tan(7)$.
(Find $y$ as a function of $t$.)
$y =$ .

B. On what interval is the solution valid?
(Your answer should involve pi.)
Answer: It is valid for $< t <$ .

C. Find the limit of the solution as $t$ approaches the left end of the interval. (Your answer should be a number or "PINF" or "MINF".
"PINF" stands for plus infinity and "MINF" stands for minus infinity.)
Answer: .

D. Similar to C, but for the right end.
Answer: .