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Question Number 113825 by deepraj123 last updated on 15/Sep/20

$$\mathrm{The}\mathrm{greatest}\mathrm{and}\mathrm{least}\mathrm{values}\mathrm{of}$$$${\left({\sin }^{-1}x\right)}^3+{\left({\cos }^{-1}x\right)}^3\mathrm{are}$$

Answered by MJS_new last updated on 15/Sep/20

$$\frac{{\pi }^3}{32}⩽{\left({\sin }^{-1}x\right)}^3+{\left({\cos }^{-1}x\right)}^3⩽\frac{7{\pi }^3}{32}$$

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