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How to prove that sinA+sin3A/cosA+cos3A = tan2A
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` (sin A+ sin 3A +sin 5 A+ sin 7A)/ ( cos A + cos 3A +cos 5A+ cos 7A)=tan 4A`
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Prove the following identity: `(sin^3A+cos^3A)/(sinA+cosA)+(sin^3A-cos^3A)/(sinA-cosA)=2`