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Math Help - trig identities

  1. #1
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    trig identities

    Hi all I’m stuck again on another trig identity problem , I would be grateful for any help Thanks
    Verify the following


    Cot θ cos θ+ tan θ sin θ = (cosec θ+sec θ)(1-sin θ cos θ)


    I’ve been trying for ages and seem to be going round in circles
    Kind regards
    John
    Last edited by JCM133; August 11th 2010 at 03:44 AM.
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  2. #2
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    Cot θ cos θ+ tan θ sin θ

    = (cosθ/sinθ)cosθ + (sinθ/cosθ)sinθ

    = [cos^3(θ) + sin^3(θ)]/sinθcosθ

    Factorize the numerator and simplify.
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  3. #3
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    I cant remeber how to factorise (cos^3 + Sin^3)
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  4. #4
    Senior Member eumyang's Avatar
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    a^3 + b^3 = (a + b)(a^2 - ab + b^2)
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