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Math Help - Solving Trigonometric Equation

  1. #1
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    Solving Trigonometric Equation

    Find exact solotions.

    2cosx+3tanx=0
    2cosx+3sinx/cosx=0 *cosx
    2cos^2x+sinx=0 ***Im stuck here any hints, I tried to use the double angel formula but its cos 2x not 2cosx! any hints!
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  2. #2
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    Quote Originally Posted by jepal View Post
    Find exact solotions.

    2cosx+3tanx=0
    2cosx+3sinx/cosx=0 *cosx
    2cos^2x+sinx=0 ***Im stuck here any hints, I tried to use the double angel formula but its cos 2x not 2cosx! any hints!
    \frac{2\cos^2{x}}{\cos{x}} + \frac{3\sin{x}}{\cos{x}} = 0

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

    2(1 - \sin^2{x}) + 3\sin{x} = 0

    solve the quadratic for \sin{x}
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