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24 January, 23:15

Find all solutions to 4sin (5x) = 4 between 0 and 360°. (Give your answer in degrees.)

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  1. 25 January, 00:17
    0
    when n=0, x=18°

    when n=1, x = 90°

    when n=2 x=18+72*2=162°

    when n=3, x=18+72*3=234°

    when n=4, x=18+72*4=306°

    or

    x = 18 + 72n, when n={0,1,2,3,4}

    Step-by-step explanation:

    4sin (5x) = 4

    sin (5x) = 1

    sin (α) = 1, when α=90° + 360n

    5x = 90° + 360n

    x = 18 + 72n

    when n=0, x=18°

    when n=1, x = 90°

    when n=2 x=18+72*2=162°

    when n=3, x=18+72*3=234°

    when n=4, x=18+72*4=306°

    when n=5, x°=18+72*5 = 378°

    General answer : x = 18 + 72n, when n={0,1,2,3,4}
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