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Math Help - Solving Trigonometric equations

  1. #1
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    Solving Trigonometric equations

    Find the solution of the equation if   0 \leq x \leq 2\pi
    Question

     4sin^2t-1=0
    Attempt:
    t=-30/330
    t=30/150

    Is my attempt correct?


    Thank you
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  2. #2
    MHF Contributor
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    Nov 2008
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    Hi

    4 \sin^2t - 1 = 0 can be factored in (2 \sin t - 1)(2 \sin t + 1) = 0 which implies \sin t = \frac12 or \sin t = -\frac12
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