Question

verify 1/csc^2(x)+1/sec^2(x)=1

Answer 1

csc^2(x)=1/sin^2(x)
sec^2(x)=1/cos^2(x)
1/csc^2(x)=sin^2(x)
1/sec^2(x)=cos^2(x)
sin^2(x)+cos^2(x)=1 which is a trig identity