Prove that tan^2x + cot^2x + 2 = sec^2x csc^2x

Prove that sec^2x-cosec^2x=tan^2-cot^2x

(sec^2x+tan^2x)(cosec^2x+cot^2x)

tan^2x-cot^2x=sec^2x csc^2x

(sec^2x+csc^2x)-(tan^2x+cot^2x)

1 cot 2x 1 tan 2x sec 2x csc 2x

tanx+cotx^2=sec^2x csc 2x

cot(2x cos(2x sin(2x csc^2x))

#math #trigonometry