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14-03-2019
Mathematics

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Cot x sec4x = coy x + 2 tan x + tan3x

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14-03-2019

Answer:

Step-by-step explanation:

Simplify RHS

Cotx +2tanx+tan^3x

Cotx/sinx+2(sinx/cosx)+sin^3x/cos^3x

Taking LCM

(cos^4x+2sin^2xcos^2x+sin^4x)/sinx cos^3x

(Cos^2x+sin^2x)^2/sinx cos^3x

(1/sinx cos^3x)

(1/sinx cos^3x)*(cosx/cosx)

Cotx sec^4x

LHS=RHS

Hence proved

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