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If \(tan\space \theta-cot\space \theta = cosec\space \theta\), \(0^0<\theta<90^0\), then what is the value of \({2tan\space \theta-cos\space \theta\over \sqrt3cot\space \theta+sec\space \theta}\) ?
A hunter fires two shots from the branch of a tree at an interval of 76 secs. A tiger separating too fast hears the two shots at an interval of 83 secs. If the velocity of the sound is 1195.2 kmph, then find the speed of the tiger?