Consider the following for the three (03) items that follow: Let $p=\sin 35{}^{\circ }$, $q=\sin 25{}^{\circ }$ and $r=\sin (-95{}^{\circ })$. 

What is (p²+q²+r²) equal to?

Consider the following for the two (02) items that follow: Let $p=|\sin \alpha -\sin (\alpha -90{}^{\circ })|$.

What is the minimum value of p?

Consider the following for the two (02) items that follow: Let $p=|\sin \alpha -\sin (\alpha -90{}^{\circ })|$.

What is the maximum value of p?

Consider the following for the three (03) items that follow:
Let p = tan 2α   - tanα and q = cotα - cot 2α

What is (p/q) equal to?