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MHT CET202611 April 2026Evening ShiftMathematicsTrigonometric EquationsActual

The general solution of 4 = 3 is = .....

Options

  1. A2n 7 , n Z
  2. B2n 5 , n Z
  3. Cn , n Z
  4. D4n 3 , n Z

Correct answer

A. 2n 7 , n Z

Step-by-step solution

Given equation is 4 = 3 . Using the general solution for x = y , we have x = 2n y , where n Z . 4 = 2n 3 Taking the positive sign: 4 = 2n + 3 = 2n Taking the negative sign: 4 = 2n - 3 7 = 2n = 2n 7 Since = 2n is a subset of = 2n 7 (which occurs when n is a multiple of 7 ), the complete general solution is = 2n 7 , n Z . Answer: 2n 7 , n Z

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