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6 October, 22:15

Find an equation of the tangent line to y = 2 sin x at x = _/6

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  1. 6 October, 22:26
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    Y o = 2 sin (π/6) = 2 * 1/2 = 1

    x o = π / 6

    y ' = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;

    m = √3

    An equation of the tangent line is:

    y - y o = m (x - x o)

    Answer:

    y - 1 = √3 (x - π/6)
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