# How do you simplify #(1+cos x) (1-cos x)#?

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Jim G.
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Apr 12, 2016

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Expand the brackets using FOIL , or the method you use.

#rArr (1 + cosx)(1 - cosx) = 1 -cosx + cosx - cos^2 x #

#= 1 - cos^2 x# using the identity

#color(red)(|bar(ul(color(white)(a/a)color(black)( sin^2 x + cos^2 x = 1 )color(white)(a/a)|)))# then

# 1 - cos^2 x = sin^2 x#

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