Math, asked by Anupamagautam, 7 months ago

cos A + sin A/cos A - sin A - cos A - sin A/cos A + sin A=2tan2A

Answers

Answered by Itzraisingstar

9

Answer:

Step-by-step explanation:

LHS

(cosa + sina)/(cosa - sina) - (cosa - sina)/(cosa + sina)

= ((cosa + sina)^2 - (cosa - sina)^2) / (cosa + sina)(cosa - sina)

= (cosa + sina + cosa - sina)(cosa + sina - cosa + sina) / (cos^2a - sin^2a)

= 2cosa*2sina/(cos^2a - sin^2a)

(2*sina*cosa = sin2a and cos^2a - sin^2a = cos2a)

= 2sin2a/cos2a = 2*tan2a = RHS Ans...

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