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Question

If cos3x+sin(2x7π6)=2 then x is equal to (kϵz)

A
π3(6k+1)
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B
π3(6k1)
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C
π3(2k+1)
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D
None of these
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Solution

The correct option is D None of these
cos3x+sin(2x7π6)=2
is only possible when
cos3x=1 and sin(2x7π6)=1
3x=(2n+1)π and 2π7π6=(4n1)π2
x=(2n+1)π3 and 2x=2nππ2+7π6
x=(2n+1)π3 and x=nπ+5π6
x=(6n+1)π3

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