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10-01-2021
Mathematics

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the value pi/12 is the solution for the equation 2 cos^2 (4x) - 1 = 0 : true or false

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Аноним Аноним

10-01-2021

Answer:

[tex]2 \cos ^{2} (4x) - 1 = 0 \\ \cos ^{2} (4x) = \frac{1}{2} \\ \cos(4x) = \sqrt{ \frac{1}{2} } \\ 4x = { \cos }^{ - 1} ( \sqrt{ \frac{1}{2} } ) \\ x = \frac{ { \cos}^{ - 1} ( \sqrt{ \frac{1}{2} } )}{4} \\ x \isnt \: \frac{\pi}{2} [/tex]

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