I would strongly suggest that you expand
cos^2 θ(cos^2 θ + sin^2 θ) + sin^2 θ
and see what you get.
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.
8 answers
I got 1. Thank you!
The factoring is correct, but it's not 1.
Every time I expand it I get 1.
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
(cos^2 θ + sin^2 θ)^2 = cos^4 θ + 2(cos^2 θ)(sin^2 θ) + sin^4 θ = 1
So it's false?
NO!
The left side factors as indicated.
The problem is, that it does not equal 1.
Maybe you typed the question wrong.
The left side factors as indicated.
The problem is, that it does not equal 1.
Maybe you typed the question wrong.
Oh, well I copied it directly from the assignment. Maybe there was a mistake made there.
1 answer