Question 964860
(1). Simplify the trigonometric expression to a multiple or power of a single trig function. 
cot(-α)cos(-α) +sin(-α) =
use x in place of α
{{{cot(-x)cos(-x)+sin(-x)}}}
{{{(cos(-x)/sin(-x))*cos(-x)+sin(-x)}}}
{{{(cos^2(-x)+sin^2(-x))/sin(-x)=1/sin(-x)=csc(-x)}}}

(2). Change all trigonometric functions in the expression to sines and cosines and simplify. 
(cos(−x))/(sec x + tan(−x))
{{{(cos(-x))/(sec(x)) + tan(-x)}}} 
{{{(cos(-x))/(1/cos(x)) +(sin(-x)/cos(-x))}}} 
cos(x)=cos(-x)
{{{cos^2(-x) +(sin(-x)/cos(-x))}}}