# trig

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prove that

(2cosx+1)(2cosx-1)= 1 +2cos2x

• trig -

Using
cos(2x)=cos²(x)-sin²(x)
and cos²(x)=1-sin²(x)
expand the right-hand-side to
4cos²(x)-1
which easily factorizes to the left-hand-side, namely:
(2cosx+1)(2cosx-1)

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