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Math Help - Trig Equation Problem

  1. #1
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    Trig Equation Problem

    Solve for all positive values of the angle theta such that theta is greater than or equal to zero and less than or equal to 360 degrees.
    sin2theta + cot2theta=1

    Help please! I really have no idea on how to solve this.

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  2. #2
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    Quote Originally Posted by fayeorwhatsoever View Post
    Solve for all positive values of the angle theta such that theta is greater than or equal to zero and less than or equal to 360 degrees.
    sin2theta + cot2theta=1

    Help please! I really have no idea on how to solve this.

    is that ...

     <br />
\sin(2\theta) + \cot(2\theta) = 1<br />

    or ...

     <br />
\sin^2{\theta} + \cot^2{\theta} = 1<br />

    ?
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  4. #4
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    Please help..
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  5. #5
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    Let t = \tan(\theta)

    You can show that \sin(2 \theta) = \frac{2t}{1+t^2}

    and that \cot(2 \theta) = \frac{1-t^2}{2t}

    This simplifies the equation
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