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If 0 < alpha < pi/ 6 then alpha(cosec ...

If `0 < alpha < pi/ 6` then `alpha(cosec alpha)` is

A

less than `pi//6`

B

greater than `pi//6`

C

less than `pi//3`

D

greater than `pi//3`

Text Solution

Verified by Experts

The correct Answer is:
C
In the graph of `y=sinx`.Let
`A-=(alpha,sinalpha),B=(pi/6,sin.pi/6)`

Clearly, shope of OA gt slope of OB,so
`sinalpha/alphagt(sinpi//6)/(pi//6)=3/pirArralpha/sinalphaltpi/3`.
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