find the domain of ​√(cosecx-1)

Dear Student,
Please find below the solution to the asked query:

fx=cosecx-1Both cosecx and square root must be defined.cosecx is undefined at integral multiple of π, hencex , when 'n' is integerQuantity inside root must be positivecosecx-10cosecx1Range of y=cosecx is y-1 or y1and we want y1cosecx is positive in first and second quadrant, hencex0,πPeriod of cosecx is 2π, hence domain is x2,2+π , where k is any integer.Note: Integral multiple of π are automatically excluded in above answer.

Hope this information will clear your doubts about this topic.

If you have any doubts just ask here on the ask and answer forum and our experts will try to help you out as soon as possible.
Regards

  • 0
What are you looking for?