this is for proving identies and its fustrating i can't solve this one question! lol

Question

x=feta
(btw the first part is supposed to be divided by the bottom)

1 + 2sinxcosx + sinxcosx
sinx + cosx

(1 + 2sinxcosx / sinx + cosx) + sinxcosx

Answer 1

oh shoot i wrote it wrong

its:

1 + 2sinxcosx = sinxcosx
sinx + cosx

Answer 2

I believe you still wrote it wrong.
it should be

(1 + 2sinxcosx)/(sinx + cosx) = sinx + cosx

to prove this, recall that sin^2 x + cos^2 x = 1
so replace the 1 with that.

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

Answer 3

thank you:)