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AP EAMCET2008MathematicsTrigonometric Ratios & Identities

If + + =2 , then + ( - )+ ( - )+ ( - ) is equal to

Options

  1. A4 2 2 2
  2. B4 2 2 2
  3. C4 2 2 2
  4. D4

Correct answer

B. 4 2 2 2

Step-by-step solution

Now, aligned & ( - )+ ( - )+ + ( - ) &= 2 ( - ( + 2 ) ) ( - 2 ) &+2 ( 2 ) ( - 2 ) &=2 ( 2 ) ( - 2 ) &+2 ( 2 ) ( + 2 ) &=2 ( 2 ) [ ( - 2 )+ ( + 2 ) ] &=2 ( 2 ) 2 2 2 &= 4 2 2 2 aligned

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