Asked by Quinn

True or False
The left side of cos^4 θ + (cos^2 θ)(sin^2 θ) + sin^2 θ = 1 can be factored to cos^2 θ(cos^2 θ + sin^2 θ) + sin^2 θ.

Answers

Answered by Reiny
I would strongly suggest that you expand
cos^2 θ(cos^2 θ + sin^2 θ) + sin^2 θ
and see what you get.
Answered by Quinn
I got 1. Thank you!
Answered by Steve
The factoring is correct, but it's not 1.
Answered by Quinn
Every time I expand it I get 1.
Answered by Steve
you are missing a factor of 2.
(cos^2 θ + sin^2 θ)^2 = cos^4 θ + 2(cos^2 θ)(sin^2 θ) + sin^4 θ = 1
Answered by Quinn
So it's false?
Answered by Steve
NO!
The left side factors as indicated.
The problem is, that it does not equal 1.

Maybe you typed the question wrong.
Answered by Quinn
Oh, well I copied it directly from the assignment. Maybe there was a mistake made there.
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