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Mathematics 21 Online
OpenStudy (anonymous):

cos2θ=2-2sin^2θ

OpenStudy (anonymous):

\[\cos(2 \phi)=\cos^2(\phi)-\sin^2(\phi)\]

OpenStudy (anonymous):

Use that.

OpenStudy (anonymous):

i have to solve for θ

OpenStudy (anonymous):

Yeah, use that identity. Then the thing factors.

OpenStudy (anonymous):

can you write it out i dont get it

OpenStudy (anonymous):

use cos 2theta = 1 - 2sin^2theta

OpenStudy (anonymous):

jimmy, look a this: \[1-2\sin^2(\theta)=2-2\sin^2(\theta) \rightarrow 1-\sin^2(\theta)=2(1-\sin^2(\theta)) \implies 1=2?\]

OpenStudy (anonymous):

Its not solvable. Its a false statement.

OpenStudy (anonymous):

so how do you solve it i dont get it?

OpenStudy (anonymous):

so how do you solve it i dont get it?

OpenStudy (anonymous):

You can't solve it. Its a false statement.

OpenStudy (anonymous):

are you sure because this a take home test from college and i want to get a good grade cuz im paying

OpenStudy (anonymous):

If you type it in wolfram it says "False" I'll link it: http://www.wolframalpha.com/input/?i=cos(2x)%3D2-2sin^2(x) It even says: "No solutions exist"

OpenStudy (anonymous):

i get what jimmy said is false but what would cos2θ=2-2sin^2θ be like what would θ be?

OpenStudy (anonymous):

It wouldn't be anything. It is not true for ANY theta.

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