Question

Can someone help me with this problem? Write in terms of sin(x) and cos(x), and simplify: csc^2(x) + sec^2(x)

Answer 1

\[\large csc^2x+sec^2x={1\over sin^2}+{1\over cos^2x}={cos^2x+sin^2x \over (cos^2x)(sin^2x)}={1\over (cos^2x)(sin^2x)}\]