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Math Help - Trigo-equations

  1. #1
    Super Member dhiab's Avatar
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    Trigo-equations

    Solve in R:
    1/
     <br />
sin(x)+cos(x)cotan(\frac{x}{2})=-\sqrt{3}<br />
    2/
     <br />
sin\left | x \right |tan(5x)=cos(x)<br />
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  2. #2
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    Quote Originally Posted by dhiab View Post
    Solve in R:
    1/
     <br />
sin(x)+cos(x)cotan(\frac{x}{2})=-\sqrt{3}<br />
    2/
     <br />
sin\left | x \right |tan(5x)=cos(x)<br />
    sin(x)+cos(x)cotan(\frac{x}{2})=-\sqrt{3}


    \frac{2\tan\frac{x}{2}}{1+(\tan^{2}\frac{x}{2})} + \frac{1- (\tan^{2}\frac{x}{2})}{1+(\tan^{2}\frac{x}{2})}*\c  ot\frac{x}{2}= -\sqrt{3}

    Simplify and solve.
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  3. #3
    Senior Member pacman's Avatar
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    sin x + cos x cot x/2 = - sqrt 3

    x = (pi/3)(6k - 1), where k is an element in Z.
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