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12-01-2019
Mathematics

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The value pi/12 is a solution to the equation 2cos^2 (4x) - 1 = 0. True or false?

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ellaroo2128 ellaroo2128

13-01-2019

Answer:

False

Step-by-step explanation:

2cos^2(4x) - 1 = cos(8x)

cos(8 *pi/12) = cos(2pi/3) = cos(pi - pi/3) = - cos(pi/3)= 1/2, which is not 0

cos(8x) = 0

==> 8x = 0 or pi

==> x = 0 or pi/8

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