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MHT CET202613 April 2026Evening ShiftMathematicsTrigonometric EquationsActual

The general solution of - = 1 is

Options

  1. A= 2n - 2 or = 2n , n Z
  2. B= n - 2 or = n , n Z
  3. C= n 2 - or = n 2 , n Z
  4. D= 2n + 2 or = n , n Z

Correct answer

A. = 2n - 2 or = 2n , n Z

Step-by-step solution

Given equation is - = 1 Dividing both sides by 1^2 + (-1)^2 = 2 1 2 - 1 2 = 1 2 4 - 4 = 1 2 ( + 4 ) = 4 + 4 = 2n 4 , n Z Taking the positive sign: + 4 = 2n + 4 = 2n Taking the negative sign: + 4 = 2n - 4 = 2n - 2 Thus, = 2n or = 2n - 2 , n Z . Answer: = 2n - 2 or = 2n , n Z

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