question archive Rewrite with only sin x and cos x
Subject:MathPrice:2.87 Bought7
Answer:
Rewrite with only sin x and cos x.
sin 2x - cos 2x
sin2x = 2sinxcosx
cos2x = (cosx)^2 - (sinx)^2 = 2(cosx)^2 -1 = 1- 2(sinx)^2
sin2x- cos2x=2sinxcosx-(1- 2(sinx)^2=2sinxcosx-1+2(sinx)^2
sin2x- cos2x=2sinxcosx-1+2(sinx)^2
the answer is the letter b) 2 sin x cos2x - 1 + 2 sin2x