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      Question

      Evaluate the following. sin 25° sin 65° – cos

      25° cos 65°.
      A 4 Correct Answer Incorrect Answer
      B 1 Correct Answer Incorrect Answer
      D 40 Correct Answer Incorrect Answer

      Solution

      sin 25° sin 65° – cos 25° cos 65° We know that the formula is cos (A + B) = cos A cos B - sin A sin B -cos (A + B) = sin A sin B - cos A cos B so, sin 25° sin 65° - cos 25°cos 65° can be written as => -cos(25° + 65°) = -cos (90°) = 0

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