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Question

The set of values of x for which tan3xtan2x1+tan3xtan2x=1 is

A
nπ+π4, nZ
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B
ϕ
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C
nπ±π4, nZ
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D
2nπ+π4, nZ
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Solution

The correct option is B ϕ
tan3xtan2x1+tan3xtan2x=1tan(3x2x)=1tanx=1x=nπ+π4
but for this value of x, tan2x is not defined
Hence, solution set =ϕ

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