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Math Help - solve this trig equation. HELP!

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    Exclamation solve this trig equation. HELP!

    tan x + sec x = sqrt 3
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    Re: solve this trig equation. HELP!

    Quote Originally Posted by jennifernghi View Post
    tan x + sec x = sqrt 3
    What have you tried so far?

    -Dan
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  3. #3
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    Re: solve this trig equation. HELP!

    Quote Originally Posted by jennifernghi View Post
    tan x + sec x = sqrt 3
    As a start...

    $\displaystyle \begin{align*} \tan{(x)} + \sec{(x)} &= \sqrt{3} \\ \frac{\sin{(x)}}{\cos{(x)}} + \frac{1}{\cos{(x)}} &= \sqrt{3} \\ \frac{\sin{(x)} + 1}{\cos{(x)}} &= \sqrt{3} \\ \sin{(x)} + 1 &= \sqrt{3}\cos{(x)} \end{align*}$

    Now you need some way to convert everything to sines or cosines. Squaring and applying the Pythagorean Identity would work, you just need to be careful for extraneous solutions.
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