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Math Help - Trigonometric Equation

  1. #1
    Raj
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    Trigonometric Equation

    Solve and find all solutions for 0 < x < 2pi

     <br />
tanx = 2sinx<br />

    If anyone can show me how to complete this I would be thankful.
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  2. #2
    Flow Master
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    Quote Originally Posted by Raj View Post
    Solve and find all solutions for 0 < x < 2pi

     <br />
tanx = 2sinx<br />

    If anyone can show me how to complete this I would be thankful.
    \tan x = 2 \sin x \Rightarrow \frac{\sin x}{\cos x} = 2 \sin x \Rightarrow \sin x = 2 \sin x \cos x \Rightarrow \sin x \, (1 - 2 \cos x) = 0.
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  3. #3
    Raj
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    \tan x = 2 \sin x <br />
\Rightarrow \frac{\sin x}{\cos x} = 2 \sin x \Rightarrow \sin x = 2 \sin x \cos x \Rightarrow \sin x \, (1 - 2 \cos x) = 0

    thanks
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