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Thread: Trigonometric Equation

  1. #1
    Raj
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    Trigonometric Equation

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

    $\displaystyle
    tanx = 2sinx
    $

    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

    $\displaystyle
    tanx = 2sinx
    $

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

    thanks
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