How many positive numbers


#1

How many positive numbers of x satisfy satisfy the equation cos(97x)=x?


#2

there are no such positive numbers thats satisfies the above equation. only ‘0’ satiesfies above equation.
cos(97x)=x
x=(1/97)cos−1(x)
domain of cos inverse function is [-1,1] i.e, x can take value from -1 to 1.
range of cos inverse function is [0,π] i.e, always positive.