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If \({sin\theta\over1+cos\theta}+\)\({1+cos\theta\over sin\theta}\)\(={4\over \sqrt3}\), \(0^0<\theta<90^0\), then the value of \((tan\theta+sec\theta)^{-1}\) is :
4 men and 5 women can complete a work in 15 days, whereas 9 men and 6 women can do it in 10 days. To complete the same work in 7 days, how many women should assist 4 men?
An observer on the top of a tree finds the angle of depression of a car moving towards the tree to be 30 degrees. After 3 minutes, this angle becomes 60 degrees. After how much more time will the car reach the tree?