Question

Simplify the expressions

1.) Cos^2x/sin^2x + csc x sin x

2.) (Sec x +1)(sec x - 1)

Answer 1

cot = cos/sin
csc = 1/sin

so, cos^2/sin^2 + csc*sin
= cot^2 + 1
= csc^2

(sec+1)(sec-1) = sec^2 - 1 = tan^2