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13-11-2019
Mathematics

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

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13-11-2019

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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