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BITSAT2012MathematicsTrigonometric Ratios & IdentitiesActual

If ² + ² =1 / 2, ² + ² =3 / 2, then ²( - ) is equal to

Options

  1. A3 / 8
  2. B5 / 8
  3. C3 / 4
  4. D5 / 4

Correct answer

B. 5 / 8

Step-by-step solution

Using cosine formula 2 ( + ) ( - )=1 / 2 ...(i) 2 ( + ) ( - )=3 / 2 ...(ii) Squaring (1) and (2) and then adding ²( - )= 1 4 + 9 4 = 5 2 ²( - )= 5 8

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