MATHS>>>PLEASE HELP

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find the maximum value of:

5+sinx-3cosx and state the value of x for which this maximum occurs

  • MATHS>>>PLEASE HELP -

    y = 5 + sin x - 3 cos x

    dy/dx = 0 at min or max = cos x + 3 sin x

    cos x = - 3 sin x

    tan x = -1/3

    x = -18.4 deg

    that is in quadrants 2 and 4

    x = 161.6 and 341.6 degrees

    at 161.6
    5 + sin x -3 cos x =5.27
    at 341.6
    5 + sin x -3 cos x = 4.64
    looks like at 161.6 degrees for max

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