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AP EAMCET202018 Sep 2020Evening ShiftMathematicsTrigonometric EquationsActual

General solution of (4 ^2(x)-4 (x)+1=0 ) is

Options

  1. A(x=2 n 3 , n Z )
  2. B(x=n +(-1)^n 3 , n Z )
  3. C(x=n +(-1)^n 6 , n Z )
  4. D(x=n +(-1)^n 4 , n Z )

Correct answer

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

Step-by-step solution

( aligned 4 Sin ^2 x-4 Sin x+1 & =0 (2 Sin x-1)^2 & =0 2 Sin x-1 & =0 Sin x & = 1 2 x & =n +(-1)^n 6 , n Z aligned ) Hence, option (c) is correct.

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