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Some Applications Of Trigonometry

Question
CBSEENMA10007998

If 3 space cot space straight theta space equals space 2 comma find the value of fraction numerator 4 space sin space straight theta space minus space 3 space cos space straight theta over denominator 2 space sin space straight theta space plus space 6 space cos space straight theta end fraction.

Solution

Solution not provided.
Ans.  1 third