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Question

Write the range of the funciton f(x)=sin[x], where π4xπ4.


Solution

We have,
f(x)=sin[x], where π4xπ4
Now,
[x]={0,x=π41x=π4
sin{x}={0,xπ4sin 1x=π4
Range (sin[x]) ={sin 1,0,sin 1}

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