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16 November, 01:12

The value 5pi/24 is a solution for the equation 4 cos^2 (4x) - 3=0. True or false

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  1. 16 November, 01:18
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    Let's check.

    x = 5π/24

    4x = 5π/6

    cos 4x = cos (5π/6) = cos 150° = - √3/2

    cos² 4x = (-√3/2) ^2 = 3/4

    4 cos² 4x - 3 = 4 (3/4) - 3 = 0

    Answer: TRUE
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