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What is/are the solutions of the trigonometric equation cosec x + x = 3 , where 0 x 2 ?

Options

  1. A5 3 only
  2. B3 only
  3. Conly
  4. D, 3 , 5 3

Correct answer

B. 3 only

Step-by-step solution

Given equation: aligned & cosec x+ x= 3 & cosec x- x= 1 3 & 2 cosec x= 3 + 1 3 = 4 3 & cosec x= 2 3 & x= 3 2 aligned Possible values of x= 3 , 2 3 Option (2) is correct.

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