question archive Rewrite with only sin x and cos x
Rewrite with only sin x and cos x
Subject:MathPrice:2.87 Bought7
Rewrite with only sin x and cos x. sin 2x - cos 2x
a) 2 sinx cosx - 1 + 2 sin2x
b) 2 sin x cos2x - 1 + 2 sin2x
c) 2 sin x cos2x - sin x + 1 - 2 sin2x
d) 2 sin x cos2x - 1 - 2 sin2x
a) 2 sinx cosx - 1 + 2 sin2x
b) 2 sin x cos2x - 1 + 2 sin2x
c) 2 sin x cos2x - sin x + 1 - 2 sin2x
d) 2 sin x cos2x - 1 - 2 sin2x
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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
