Math trigonometric identities proving?

How to prove this true:

(1+cosx)/sinx = cot(x/2)

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  • 3 years ago
    Favorite Answer

    LHS = (1+cosx)/sinx

    = [ 1 + (2cos^2(x/2) - 1)]/2sin(x/2)cos(x/2)

    = 2cos^2(x/2)/2sin(x/2)cos(x/2)

    = cos(x/2)/cos(x/2) * cos(x/2)/sin(x/2)

    = 1 * cos(x/2)/sin(x/2)

    = cot(x/2)

    = RHS

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  • 3 years ago

    Have the cheat sheet ready to refer to .

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