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Question

The value of x in (0,π) which satisfy the equation
8+|cosx|+cos2x+|cos3x|+to=43 is

A
{π2, 3π4}
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B
{π4, 3π4}
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C
{π3, 2π3}
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D
{π6, 5π6}
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Solution

The correct option is C {π3, 2π3}
81+|cosx|+|cosx|2+|cosx|3+to=43[cos2x=|cos2x| also |cosnx|=|cosx|n]811|cosx|=43231|cosx|=2631|cosx|=61|cosx|=12|cosx|=12cosx=±12x=π3,2π3

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