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Question

Write the maximum and minimum values of sin (sin x).

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Solution

1sin(x)1for[0,2π]sin(x) is maximum at x=π2 and minimum at x=3π2.

sin(sin(π2))=sin(1)=0.017

sin (sin(x))=sin(-1)=-sin (1)=-0.017

The maximum value of sin (sin(x))is sin (1).

The minimum value of sin (sin(x)) is -sin (1).


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