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OpenStudy (anonymous):
solve the equation cos^2x-sin^x=-cosx
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OpenStudy (anonymous):
$$\cos^2 x-\sin^2x=-\cos x$$Recognize that \(\cos^2x-\sin^2x=\cos2x\) and thus we have$$\cos2x=-\cos x$$So now you can interpret \(x\) as the angle s.t. if you double it you get get reflected into the opposite quadrant:|dw:1368162721884:dw|
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