Prove that: (1 + Sin2A - Cos2A) / (1 + Sin2A + Cos2A) = TanA

1-cos2A/sin2A ={(sin^2A + cos^2A)–(cos^2A – sin^2A)}/2sinA.cosA = 2sin^2A/2sinA.cosA = tanA = RHSRead more

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trigonometry - Prove $\frac{1-\sin(2A)}{\cos(2A)}=\frac{1-\tan A}{1+\tan A}$ - Mathematics Stack Exchange.Read more

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Expert-Verified Answer · Answer: · 1+tanA/1-tanA · Step-by-step explanation: · Hence, the value of 1-sin2A/cos2A=1-tanA/1+tanA = 1+tanA/1-tanA ...Read more

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Take common 2 cosA from numerator and 2 sinA from denominator. 2 cosA(sinA + cosA)/ 2 sinA (sinA + cosA) = Cos A/sinA = CotA = RHS. Hence proved.Read more

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Explanation: To prove the equation, we will simplify the left-hand side and show that it equals the right-hand side. Step by Step Solution: Step ...Read more

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Key identities that will likely be useful include the double angle formulas for sine and cosine: sin 2A = 2 sin A cos A and cos 2A = cos^2 A - sin^2 A (or ...Read more

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1-sin^2a=cos^2a(по основному тригоном.тождеству). Тогда (1-sin^2a)-cos^2a=cos^2a-cos^2a=0. Искать похожие ответы. arrow right.Read more

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