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Some Applications Of Trigonometry

Question

If $tanθ space equals space 4 over 3 comma$ find the value of $fraction numerator 2 space sin space straight theta space minus space 3 space cosθ over denominator 2 space sin space straight theta space plus space 3 space cos space straight theta end fraction.$

Solution

Solution not provided.
Ans. $fraction numerator negative 1 over denominator 17 end fraction$