If the function $y = sin (f (x))$ is monotonic for all value of $x$ (where $f (x)$ is continuous ), then the maximum value of the difference between the maximum and minimum value of $f (x)$ is

π

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2 π

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\frac{π}{2}

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N o n e o f t h e s e

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Solution

The correct option is D $π$
for $sin x$ function to be monotonic the domain should be in between $[- \frac{π}{2}, \frac{π}{2}]$
the difference is given by $\frac{π}{2} + \frac{π}{2} = π$

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If the function y=sin(f(x)) is monotonic for all value of x (where f(x) is continuous ), then the maximum value of the difference between the maximum and minimum value of f(x) is

The correct option is D πfor sinx function to be monotonic the domain should be in between [−π2,π2]the difference is given by π2+π2=π

If the function $y = sin (f (x))$ is monotonic for all value of $x$ (where $f (x)$ is continuous ), then the maximum value of the difference between the maximum and minimum value of $f (x)$ is

The correct option is D $π$
for $sin x$ function to be monotonic the domain should be in between $[- \frac{π}{2}, \frac{π}{2}]$
the difference is given by $\frac{π}{2} + \frac{π}{2} = π$