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MHT CET202611 April 2026Morning ShiftMathematicsTrigonometric EquationsActual

The principal solutions of cosec ( ) = -2 are...

Options

  1. A6 , 5 6
  2. B5 6 , 7 6
  3. C7 6 , 11 6
  4. D6 , 11 6

Correct answer

C. 7 6 , 11 6

Step-by-step solution

Given cosec ( ) = -2 ( ) = - 1 2 We know that ( 6 ) = 1 2 . Since ( ) is negative in the third and fourth quadrants, the principal solutions in the interval [0, 2 ) are given by: = + 6 = 7 6 = 2 - 6 = 11 6 The principal solutions are 7 6 and 11 6 . Answer: 7 6 , 11 6

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