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Find no of solutions:
cos x = x
one.Graphically u can find it.The graph of y=x and cos x will cut once.
no of solution=1
cd any1 pl tell me wat exactly is the solution of x=cos x .. imean the coordinates of the point where the intersect
consider the function f(x)=x-cos(x)
derivative of f(x)=1-sin(x) which is >=0 for all real x
=> f(x) is increasing for all real x.
f(c)<0 for some c<-1 & f(c)>0 for some c>1
=> f(x) intersects the number line at ONLY ONE point.
=>f(x)=0 has ONLY ONE solution.
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