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      Question

      If 5sinĪø +12 cosĪø = 13, then find the value of 12cosĪø

      – 5 sinĪø.
      A –2 Correct Answer Incorrect Answer
      B 1 Correct Answer Incorrect Answer
      D –1 Correct Answer Incorrect Answer

      Solution

      5sinĪø +12 cosĪø = 13Ā Ā Ā Ā Ā Ā Ā Ā Ā Ā  … Divide by 13 in both sides. ⇒ (12/13) sinĪø + (5/13) cosĪø = 1 Comparing with, sin2Īø + cos2Īø = 1, Ā  we get sinĪø = 12/13 And cosĪø =5/13 So, now- 12cosĪø –5 sinĪø. =5Ɨ12/13 -12Ɨ5/13 =0.

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