If A, B, and C are the angels of a △ABC then the following is equal to :

sin\(({B+C \over2})\)

Which of the following Venn diagrams best represents the words given below?

Engineers, Educated Persons, Males

If \(6tan\theta-5\sqrt3sec\theta+12cot\theta=0\) where, \(0 <\theta< 90\), then value of \(cosec\theta +sec\theta\) is:

A certain number of persons can complete a work in 54 days. If there were 15 persons less, it would take 18 days more for the work to be completed. Initially, the number persons is:

A and B can complete a piece of work together in 20 days. They start work together but A had to leave 5 days before the work finally got over. If B finishes the remaining in 18 days, then how long will B take to complete the work separately.