Given the triangle below, determine the missing side(s) without using the Pythagorean theorem (make sure your answer is fully simplified).

Given the triangle below, determine the missing side(s) without using the Pythagorean theorem (make sure your answer is fully simplified).

Without using a calculator, determine all values of P in the interval $\(\left\)[0\(\degree\),90\(\degree\]\right\))$ with the following trigonometric function value.

$\(\csc\) P=\(\sqrt\)2$

Without using a calculator, determine all values of A in the interval $\(\left\)[0,\(\frac{\pi}{2}\]\right\))$ with the following trigonometric function value.

$\(\cos\) A=\(\frac{\sqrt3}{2}\)$