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AP EAMCET202423 May 2024Morning ShiftMathematicsTrigonometric EquationsActual

The general solution of x 2 - x= cosec x 2 is

Options

  1. A.2 n + 3 , n Z
  2. B.4 n + 3 , n Z
  3. C2 n +- n Z
  4. D.4 n 2 3 , n Z

Correct answer

D. .4 n 2 3 , n Z

Step-by-step solution

x 2 - x= cosec x 2 aligned & x 2 x 2 - x x = 1 x 2 & x x 2 - x x 2 x 2 x = 1 x 2 [ x 2 0 ] & (x- x 2 )= x x 2 -2 x 2 x 2 =0 & x 2 (1-2 x 2 )=0 aligned array l|l x 2 =0 & x 2 = 1 2 = 3 x 2 =n x=2 n , n Z & x 2 =2 n 3 =4 n 2 3 , n Z array

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