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Manipal MET2018MathematicsTrigonometric Ratios & Identities

If ( )= ( ) , then which of the following is correct?

Options

  1. A= 3 2 2
  2. B( - 2 )= 1 2 2
  3. C( - 4 )= 1 2 2
  4. D( + 4 )=- 1 2 2

Correct answer

C. ( - 4 )= 1 2 2

Step-by-step solution

aligned & (c) We have, ( )= ( ) & array cc & ( 2 - )= ( ) & 2 - =2 n & 1 2 - =2 n array aligned Taking ' + ' sign, array lr & 1 2 - =2 n+ & 1 2 + 1 2 = 1 2 2 - 2 n & ( - 4 )= 1 2 2 ( for n=0) array

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