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KCET2016MathematicsTrigonometric Equations

The general solution of ( + =2 ) is

Options

  1. A( = n 2 +(-1)^ n n I 8 )
  2. B( n I 2 +(-1)^ n n 4 )
  3. C( = n 2 +(-1)^ n n 6 )
  4. D( =n +(-1)^ n n 8 )

Correct answer

B. ( n I 2 +(-1)^ n n 4 )

Step-by-step solution

Given that, + =2 + =2 ² + ² =2 1 =2 2 =1 2 =1= ( 2 ) As we know, if = then =n +(-1)^ n Therefore, 2 =n +(-1)^ n 2 = n 2 +(-1)^ n 4

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