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Math Help - Conditional Trigonometric Equations

  1. #1
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    Conditional Trigonometric Equations

    4sin^2x-3=0

    How do I find the zeros in exact values?
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  2. #2
    Super Member

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    Lexington, MA (USA)
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    Hello, senna!

    You've never seen one of these before?


    Solve for x\!:\;\;4\sin^2\!x-3\:=\:0
    Just use your knowledge of algebra . . . then Trig at the end.


    Add 3 to both sides: . 4\sin^2\!x \:=\:3

    Divide by 4: . \sin^2\!x \:=\:\frac{3}{4}

    Take square roots: . \sin x \:=\:\pm\frac{\sqrt{3}}{2}


    Can you finish it now?

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  3. #3
    Newbie
    Joined
    Feb 2008
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    Thanks for the help Soroban. It's practically instant now.

    <br />
\frac{{\pi}}{3}<br />
, <br />
\frac{{2\pi}}{3}<br />
, <br />
\frac{{4\pi}}{3}<br />
, <br />
\frac{{5\pi}}{3}<br />
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