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Sinxcosxtanx=1-cos^2x
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Sinxcosxtanx=1-cos^2x

User Vinoth Rajendran
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Explanation:


sin x \: cos x \: tanx = 1 - {cos}^(2) x \\ LHS \\= sin x \: cos x \: tanx \\ =sin x \: cos x \: * (sin x)/(cos x) \\ = sin x \: * (sin x)/(1) \\ ={sin}^(2) x \\ = 1 - {cos}^(2) x \\ = RHS \\ \therefore \: sin x \: cos x \: tanx = 1 - {cos}^(2) x \\ Hence \: Proved.

User RaviU
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