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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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