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COMEDK2019MathematicsTrigonometric Ratios & Identities

The value of 67 1^ 2 + 67 1^ 2 is

Options

  1. A2
  2. B3 2
  3. C2 2
  4. D2- 2

Correct answer

C. 2 2

Step-by-step solution

We have, 67 1 2 ^ + 67 1 2 ^ = 67 1 _ ² 67 1 2 ^ + 67 1 2 _ 67 1 2 ^ = ² 67 1^ 2 + ² 67 1 2 67 1 2 ^ 2 67 1 2 = 2 2 67 1 2 ^ 67 1 2 ^ = 2 135^ = 2 (90^ +45^ ) = 2 45^ =2 2 =2 2

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