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