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anonymous
 one year ago
does cos^2  sin^2 = 2cos^2  1?
anonymous
 one year ago
does cos^2  sin^2 = 2cos^2  1?

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Valpey
 one year ago
Best ResponseYou've already chosen the best response.0By the Pythagorean Theorum, \(\sin^2 + \cos^2 = 1\). Is there a way you can use that to simplify your equation?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i was thinking about that but i wasn't sure and this is just the last step of my equation but yea

Valpey
 one year ago
Best ResponseYou've already chosen the best response.0One way to make it clear might be to say: Let \(X = \cos^2\) Let \(Y = \sin^2\) Now, your question would be: Does \(X  Y = 2X  1\)? (given that we know \(X+Y = 1\))

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\cos \left( A+B \right)=\cos A \cos B\sin A \sin B\] If B=A \[\cos \left( A+A \right)=\cos A \cos A\sin A \sin A=\cos ^2A\sin ^2A\] \[\cos ^2A+\sin ^2A=1,\sin ^2A=1\cos ^2A\] ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you for that but i dont think that helps my situation right now ;/

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\cos ^2A\sin ^2A=\cos ^2A(1\cos ^2A)=\cos ^2A1+\cos ^2A=2 \cos ^2 A1\]
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