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