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Q.

If 0<α<π6 then α cosecα is

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a

less thanπ6

b

greater than π6

c

less than π3

d

greater than π3

answer is C.

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Detailed Solution

In the graph of y = sinx. LetA≡(α,sin⁡α),B=π6,sin⁡π6Clearly, slope of OA > slope of OB, so sin⁡αα>sin⁡π/6π/6=3π⇒αsin⁡α<π3
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