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Let f:[0,4pi]->[0,pi] be defined by f...

Let `f:[0,4pi]->[0,pi]` be defined by `f(x)=cos^-1(cos x).` The number of points `x in[0,4pi]` 4satisfying the equation `f(x)=(10-x)/10` is

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Verified by Experts

The correct Answer is:
3
`f: [0, 4pi] rarr [0, pi], f(x) = cos^(-1) (cos x)`
For number of roots of equation `cos^(-1) (cos x) = (10 -x)/(10)`, draw the graph of `y = cos^(-1) (cos x)`
and `y = (10 -x)/(10)` and find the points of intersection.

From the graph number of solution is 3
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