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The number of distinct solutions of the equation 5/4 cos^22x + cos^4x + sin^6x = 2 in the interval [0, 2π] is ......

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The number of distinct solutions of the equation 5/4 cos22x + cos4x + sin6x = 2 in the interval [0, 2π]  is ....

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The given equation can be written as

Hence, there will be 8 solutions, 2 in each interval [0, π]

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