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JEE Main20252 Apr 2025Evening ShiftMathematicsTrigonometric EquationsActual

If [- 7 6 , 4 3 ] , then the number of solutions of 3 cosec ^2 -2( 3 -1) cosec -4=0 , is equal to

Options

  1. A6
  2. B8
  3. C10
  4. D7

Correct answer

A. 6

Step-by-step solution

aligned & cosec = 2( 3 -1) 4(3+1-2 3 )+16 3 2 3 & = 2( 3-1 ) 16+8 3 2 3 & = 2( 3 -1) (2+2 3 ) 2 3 aligned cosec =2 or -2 3 = 1 2 or - 3 2 = 1 2 has 3 solutions & also = - 3 2 has 3 solutions in [ -7 6 , 4 3 ]

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