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Math Help - converting parametric equations into cartesian form

  1. #1
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    converting parametric equations into cartesian form

    show that x = sin t and y = sin (t + pi/6)

    can be written in the form y = ax + b1-x^2 stating the values of a and b

    im really stuck
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by sharp357 View Post
    show that x = sin t and y = sin (t + pi/6)

    can be written in the form y = ax + b1-x^2 stating the values of a and b

    im really stuck
    y = \sin \left(  t + \frac {\pi}6 \right)

    = \sin t \cos \frac {\pi}6 + \sin \frac {\pi}6 \cos t ........by the addition formula for sine

    = \frac {\sqrt{3}}2 \sin t + \frac 12 \cos t

    = \frac {\sqrt{3}}2 \sin t + \frac 12 \sqrt{ 1 - \sin^2 t }


    can you finish? in particular, pay attention to the \sin t's you see in the above expression. what do you know about \sin t here?
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  3. #3
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    hmmm, i think i can. thanks for the help
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