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Math Help - Trigonometric Equation

  1. #1
    Junior Member
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    Unhappy Trigonometric Equation

    Solve :
    (1-tan theta)(1+sin 2 theta)=1+tan theta
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  2. #2
    MHF Contributor red_dog's Avatar
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    \left(1-\frac{\sin\theta}{\cos\theta}\right)(\sin^2\theta+  \cos^2\theta+2\sin\theta\cos\theta)=1+\frac{\sin\t  heta}{\cos\theta}

    \frac{(\cos\theta-\sin\theta)(\sin\theta+\cos\theta)^2}{\cos\theta}=  \frac{\cos\theta+\sin\theta}{\cos\theta}

    (\sin\theta+\cos\theta)(\cos^2\theta-\sin^2\theta-1)=0

    (\sin\theta+\cos\theta)(\cos 2\theta-1)=0

    Then \sin\theta+\cos\theta=0

    or \cos 2\theta=1

    Can you continue?
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