Question
Use the identities cos^2 x + sin^2 x =1
and
cos2x=cos^2 x -sin^2 x
to show that
cos^4 x -sin^4 x = cos2x
Im not sure how, I can solve my problem with half angle identities but im not sure where to start with this.
and
cos2x=cos^2 x -sin^2 x
to show that
cos^4 x -sin^4 x = cos2x
Im not sure how, I can solve my problem with half angle identities but im not sure where to start with this.
Answers
use x^2-y^2 = (x+y)(x-y)
c^4-s^4 = (c^2+s^2)(c^2-s^2)
= 1 (c^2-s^2)
= c 2x
c^4-s^4 = (c^2+s^2)(c^2-s^2)
= 1 (c^2-s^2)
= c 2x
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