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Math Help - trig identity equation

  1. #1
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    trig identity equation

    "For the equation
    sin(4 x) = 0.48
    find the smallest solution, the largest solution and the number of solutions for x in the interval 0 ≤ x ≤ 2π."

    what identity do I use for this?
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  2. #2
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    e^(i*pi)'s Avatar
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    Due to \sin(4x) being \sin(x) but "squashed" 4 times as much you will get more solutions.


    No identity here though, take the arcsin: 4x = \arcsin(0.48)


    In case a picture helps - you can ignore the orange line, that's only there to show the difference between sin(4x) and sin(x)

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