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Math Help - Trig Equation - HELP!!!

  1. #1
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    Exclamation Trig Equation - HELP!!!

    1+sin^2x=3sinxcosx

    Could someone please help me solve this!!
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  2. #2
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    1+sin^2x=3sinxcosx

    \Rightarrow \sin^2{x} + \cos^2{x} + \sin^2{x} = 3\sin{x}\cos{x}

    \Rightarrow 2\sin^2{x} - 3\sin{x}\cos{x} + \cos^2{x} = 0

    You should see that this is factorable.
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  3. #3
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    sorry but how does 1+sin^2 x = sin^2 x + cos^2 x + sin^2 x?
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  4. #4
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    I used the Pythagorean identity:
    \sin^2{x} + \cos^2{x} = 1
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