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6 September, 13:16

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

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  1. 6 September, 15:06
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    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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