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MHT CET202313 May 2023Morning ShiftMathematicsTrigonometric EquationsActual

The general solution of the equation 3 ^2 =2 cosec is

Options

  1. An + 4 , n Z
  2. B2 n +(-1)^ n 12 , n Z
  3. Cn +(-1)^ n 6 , n Z
  4. Dn +(-1)^ n 3 , n Z

Correct answer

C. n +(-1)^ n 6 , n Z

Step-by-step solution

aligned & 3 ^2 =2 cosec & 3 ^2 = 2 & 3 1- ^2 = 2 & 2 ^2 +3 -2=0 & (2 -1)( +2)=0 & = 1 2 aligned or =-2 , which is not possible aligned & = 1 2 = 6 & = n +(-1)^ n 6 , n Z aligned

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