Question

Simplify tan (-x)/csc^2 x - tan (x)/sec^2 x

Answer 1

first chnage everything ino sine and cosine

Answer 2

tan(-x)=-tan x

Answer 3

so the given expression becomes -tan x(sin ^2 x+cos ^2 x) =-tan x since 1/cosec ^2 x= sin ^2 x and 1/sec ^2 x=cos ^2 x

Answer 4

Hence the final answer is -tan x