Question

Simplify to a single trig function with no fractions.

Answer 1

I believe the answer is cos 0 csc 0/ cot 0 or sec(t)

Answer 2

sec(t)

Explanation:

`(cot(t))/(\csc(t)-\sin(t))}}=((\cos(t))/(\sin(t)))/((1)/(\sin(t))-\sin(t))\\\\`

`=\frac{(\cos(t))/(\sin(t))}{\frac{1-\sin^2(t)}{{\sin(t)}}}\\\\=(\cos(t))/(\cos^2(t))\\\\=(1)/(\cos(t))\\=\sec(t)`