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      Question

      Evaluate the following: sin 60° × cos 30° −

      sin 30° × cos 60°
      B 1 Correct Answer Incorrect Answer
      C 1/2 Correct Answer Incorrect Answer
      D 1/√2 Correct Answer Incorrect Answer

      Solution

      We know that, sin (a − b) = sin a × cos b − cos a × sin b So, sin 60° × cos 30° − sin 30° × cos 60°
      = sin (60° − 30°)
      = sin 30°
      = 1/2

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