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COMEDK2016MathematicsTrigonometric Ratios & Identities

If =m and =n , then 1 m [(m+n)+ 1 (m+n) ]=

Options

  1. Am n
  2. B2 n
  3. C2 m
  4. D2

Correct answer

D. 2

Step-by-step solution

We have, =m and =n Now, 1 m [(m+n)+ 1 (m+n) ]= 1 [( + )+ 1 ( + ) ]= 1 [ ( + )²+1 ( + ) ]= 1 [ ² + ² +2 +1 ( + ) ]= 1 [ ² + ² -1+2 + +1 + ]= 1 [ 2 2 +2 + ]= 1 [ 2 ( + ) ( + ) ]= 1 (2 )=2

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