(sin x + cos x)^2 tan x = tan x + 2 sin^2 x

Question

please help me verify the identity

Answer 1

using trig identities and I need to verify please help

Answer 2

(sinx+cosx)^2 = sin^2x + 2sinx cosx + cos^2x = 1+2sinx cosx

Now you just take the last step, recalling that tanx = sinx/cosx