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17 September, 17:40

Identify the maximum and minimum values of the function y = 10 cos x in the interval [-2π, 2π].

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  1. 17 September, 18:13
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    We know that the maximum and minimum values of the function y = cos x in the interval [-2π, 2π] are 1 and - 1 respectively.

    The graph of y = 8 cos x is vertical stretch by a factor of 8 units. Therefore the graph y=cos x, = the maximum and minimum values of the function y = cos x in the interval [-2π, 2π]. So they are 8 and - 8 respectively.

    max = 8, ∈[-2π,2π]

    = Solution

    min = - 8. ∈[-2π,2π]
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