Question1. Simplify the expressions to a single trigonometric function: a. $\frac{\csc ^{2}(t)-1}{\csc ^{2}(t)}$ b. $\cos (x) \tan (x)+\sin (x)$
2. Consider $\cot (x)=\frac{1}{\sqrt{3}}$ a. What quadrant is the angle located? b. Will the cosine of this angle be positive or negative? c. Will the sine of this angle be positive or negative?
3. Consider the function $\frac{x}{\sqrt{9-x^{2}}}$. Rewrite this expression by substituting $x=3 \sin \theta$, and simplifying completely.