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

What is the positive value of P in the interval $\(\left\)[0\(\degree\),90\(\degree\]\right\))$ that will make the following statement true? Express the answer in four decimal places.

$\(\cot\) P=5.2371$

What is the positive value of $D$ in the interval $\(\left\)[0,\(\frac{\pi}{2}\]\right\))$ that will make the following statement true? Express the answer in four decimal places.

$\(\sec\) D=3.2842$

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

Given the right triangle below, evaluate $\(\cos\]\theta\)$.

Given the right triangle below, evaluate $\(\tan\]\theta\)$.

If $\(\tan\]\theta\)=\(\frac{12}{5}\)$, find the values of the five other trigonometric functions. Rationalize the denominators if necessary.