The value of \(cot{π\over 20}.cot{3π\over 20}.cot{5π\over 20}.cot{7π\over 20}.cot{9π\over 20}\) is
Watch SolutionAn 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?
Watch SolutionIf \({5cot\theta+\sqrt3cosec\theta\over 2\sqrt3coesec\theta+3 cot\theta}=1\), \(0^0<\theta<90^0\), then the value of \(\frac{\frac{7}{2} \cot^2 \theta- \frac{3}{4} \:cosec^2 \theta}{4 \sin^2 \theta+\frac{3}{2} \tan^2 \theta}\) will be:
Watch SolutionA and B can do a job in 10 days and 5 days, respectively. They worked together for two days, after which B was replaced by C and the work was finished in the next three days. How long will C alone take to finish 60% of the job?
Watch Solution