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Question

General solution of the equation sec2x=23 is

A
2nπ±π3, nZ
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B
nπ±5π12, nZ
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C
2nπ±5π6, nZ
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D
nπ±π6, nZ
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Solution

The correct option is B nπ±5π12, nZ
sec2x=23cos2x=32cos2x=cos5π62x=2nπ±5π6x=nπ±5π12, nZ

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