Question

prove the identity

sec^2x times cot x minus cot x = tan x

Answer 1

LS = (1/cos^2 x)(cosx/sinx) - cosx/sinx
= 1/(cosxsinx) - cosx/sinx
= (1 - cos^2x)/(sinxcosx)
= sin^2x/(sinxcox)
= sinx/cosx
= tanx
= RS