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Math Help - Solving for x in a trigonometric equation.

  1. #1
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    Solving for x in a trigonometric equation.

    I was wondering how I might go about solving sin (.77x)=-1/2
    I know there would be two answers since it is a sine problem.

    Thanks!
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  2. #2
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    Since sin(pi + pi/6) = -sin(pi/6) = -1/2 and sin(2pi - pi/6) = -sin(pi/6) = -1/2, one can see from the graph that the solutions to sin(y) = -1/2 are y = 7pi/6 + 2pi * k and 11pi/6 + 2pi * k for all integer k. Then the roots of the original equation can be found from .77x = y.
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  3. #3
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    Thanks! That was a big help!
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