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Thread: Trigonometric Equation

  1. #1
    cdx
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    Trigonometric Equation

    $\displaystyle 2cotx+sec^2x=0$

    $\displaystyle xe[0,2\pi]$
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  2. #2
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    Re :

    Quote Originally Posted by cdx View Post
    $\displaystyle 2cotx+sec^2x=0$

    $\displaystyle xe[0,2\pi]$

    $\displaystyle \frac{2}{tanx}+(1+tan^2x)=0$ , multiply the whole thing by tan x

    $\displaystyle tan^3x+tanx+2=0$

    Let tan x = y

    $\displaystyle y^3+y+2=0$ ... Can u continue from here ?
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  3. #3
    cdx
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    Thanks, I forgot about the identity

    $\displaystyle
    sec^2x = 1 + tan^2x
    $
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