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KVPY2013MathematicsTrigonometric Ratios & Identities

The angles , , of a triangle satisfy the equations 2 +3 =3 2 and 3 +2 =1 . Then angle equals

Options

  1. A150^
  2. B120^
  3. C60^
  4. D30^

Correct answer

D. 30^

Step-by-step solution

array l 2 +3 =3 2 ...(1) 3 +2 =1...(2) array sum of squares of equation (1) and (2) 4+9+12 ( + )=19 ( + )= 1 2 + =150^ or 30^ If + =30^ =30- put in equation (1) and (2) we get 7 +3 3 =6 2 array l 7 -3 3 =2 = 7+9 6 37 =.8 30^ + 30^ array

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