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BITSAT2020MathematicsTrigonometric EquationsActual

The value of [ n +(-1)^ n 4 ], n I is

Options

  1. A0
  2. B1 2
  3. C- 1 2
  4. DNone of these

Correct answer

B. 1 2

Step-by-step solution

[ n +(-1)^ n 4 ]=(-1)^ n [(-1)^ n 4 ] [ ( n + )=(-1)^ n ] aligned &=(-1)^ n (-1)^ n 4 & . [(-1)^ n ]=(-1)^ n ] &=(-1)^ 2 n 4 = 4 = 1 2 aligned

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