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Question

If 0<α<π6 then α(cosecα) is

A
less than π6
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B
greater than π6
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C
less than π3
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D
greater than π3
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Solution

The correct option is C less than π3
α(cosecα) =αsinα

0<α<π6 ....(1)
0<sinα<12 ....(2)
Dividing (1) by (2), we get
0<αsinα<π3
0<αcosecα<π3

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