Trigonometry

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.

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1. I would strongly suggest that you expand
cos^2 θ(cos^2 θ + sin^2 θ) + sin^2 θ
and see what you get.

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2. I got 1. Thank you!

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3. The factoring is correct, but it's not 1.

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4. Every time I expand it I get 1.

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5. 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

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6. So it's false?

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7. NO!
The left side factors as indicated.
The problem is, that it does not equal 1.

Maybe you typed the question wrong.

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8. Oh, well I copied it directly from the assignment. Maybe there was a mistake made there.

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