How to simplify (1+cos x) (1-cos x)?

Bradyn Mclean

Bradyn Mclean

Answered question

2023-01-19

How to simplify (1+cosx)(1cosx)?

Answer & Explanation

peannreu

peannreu

Beginner2023-01-20Added 10 answers

FOIL or the method you choose should be used to expand the brackets.
(1+cosx)(1cosx)=1cosx+cosxcos2x
=1cos2x
using the identity aasin2x+cos2x=1aa
then 1cos2x=sin2x
Fabian Atkins

Fabian Atkins

Beginner2023-01-21Added 1 answers

(1+cosx)(1cosx)
=12(cosx)2( (a+b)(ab)=a2b2)
=1cos2x
=1(1sin2x)( sin2x+cos2x=1)
=11+sin2x
=sin2x

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