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Find the range of y=sin^3x-6sin^2x+11sin...

Find the range of `y=sin^3x-6sin^2x+11sinx-6.`

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`y=sin^3x-6sin^2x+11sinx-6`
Put `sinx=t`
`y=t^3-6t^2+11t-6`
diff. with respect to t
`dy/dt=3t^2-12t+11`
`3(t-2)^2-1>0`
Range[f(-1),f(1)]
Range[-24,0]
...
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