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Maths-

General

Easy

Question

If $0 less than alpha less than pi over 6$ then $alpha left parenthesis cosec space alpha right parenthesis$ is

$less than \frac{π}{6}$
greater than $\frac{π}{6}$
less than $\frac{π}{3}$
greater than $\frac{π}{3}$

hint Hint:

In the question our objective should be to convert alpha to alpha cosec alpha for this we can apply sin then we will get a new inequality. Then we will multiply the given inequality to the derived one then after doing some simplifications we will get the desired result.

The correct answer is: less than $pi over 3$

$g i v e n comma space 0 less than alpha less than straight pi over 6..... space e q u a t i o n space 1 rightwards double arrow sin 0 less than sin alpha less than sin straight pi over 6 rightwards double arrow 0 less than sin alpha less than 1 half....... space e q u a t i o n space 2 d i v i d i n g space e q u a t i o n space 1 space a n d space 2 rightwards double arrow 0 less than fraction numerator alpha over denominator sin alpha end fraction less than straight pi over 3 rightwards double arrow 0 less than alpha. cos e c alpha less than straight pi over 3 S o comma space alpha space cos e c alpha space less than straight pi over 3 space$

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