Question

    If 5sinθ +12 cosθ = 13, then find the value of 12cosθ

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

    Solution

    5sinθ +12 cosθ = 13           … Divide by 13 in both sides. ⇒ (12/13) sinθ + (5/13) cosθ = 1 Comparing with, sin2θ + cos2θ = 1,   we get sinθ = 12/13 And cosθ =5/13 So, now- 12cosθ –5 sinθ. =5×12/13 -12×5/13 =0.

    Practice Next

    Relevant for Exams: