Maths-
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Question

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

  1. text  less than  end text pi over 6
  2. greater than pi over 6
  3. less than pi over 3
  4. greater than pi over 3

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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