1.

Find the sum of roots the equation cos^(-1)(cos x)=[x],[*] denotes the greatest integer funtions.

Answer»

Solution :We have `cos^(-1)(cos X)=[x]`
To FIND the ROODS of the equation, we DRAW the graphs of `y=cos^(-1)(cos x)" and "y = [x]` and then find the points of intersection.

From the graph, roots are 0, 1, 2, 3, and the value OT x for which `3=2pi-x or x= 2 pi-3`. Hence the sum of roots is `2pi+3`


Discussion

No Comment Found

Related InterviewSolutions