sin 2x(cot x + tan x) = 2

Question

(verify the identity)

Answer 1

LS
= sin 2x(cot x + tan x) = 2
= 2sinxcosx(cosx/sinx + sinx/cosx)
= 2cos^2x + 2sin^2x
= 2(cos^2x + sin^2x)
= 2(1) = 2
= RS