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MHT CET20242 May 2024Evening ShiftMathematicsTrigonometric EquationsActual

The general solution of 2 3 ^2 = is

Options

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

Correct answer

A. n +(-1)^ n 3 , n Z

Step-by-step solution

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

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