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Math Help - stuck in a simple step after differentiation.

  1. #1
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    stuck in a simple step after differentiation.

    pls help me with this simple step
    i dont know how that last step came,
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  2. #2
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    Quote Originally Posted by avengerevenge View Post
    pls help me with this simple step
    i dont know how that last step came,
    From what you have

     <br />
y - a \sin ^3 t = - \tan t \left(x - a \cos ^3 t\right)<br />

     <br />
y \cos t - a \sin^3t \cos t = - x \sin t + a \cos^3t \sin t<br />

     <br />
y \cos t = - x \sin t +a \sin^3t \cos t + a \cos^3t \sin t<br />

     <br />
y \cos t = - x \sin t +a \sin t \cos t\left( \underbrace{\cos^2t + \sin^2t}_{=1}\right) <br />

    so

     <br />
y \cos t = - x \sin t +a \sin t \cos t.
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  3. #3
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    thanks

    i know this is very simple step but it was not coming,
    thankss
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