simple question

how come
cos^2(x)-sin^2(x) = cos(2x)

where the identity cos(2x) come from?
thanks a lot

1 answer

recall cos(A + B) = cosAcosB - sinAsinB
you just have an application of this.

then ...
cos 2x = cos(x+x)
= cosxcosx - sinxsinx
= ....
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