Question Number 45239 by mondodotto@gmail.com last updated on 10/Oct/18
$$\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{range}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{following}} \\ $$$$\left(\boldsymbol{\mathrm{i}}\right)\:\boldsymbol{\mathrm{f}}\left(\boldsymbol{{x}}\right)=\boldsymbol{\mathrm{arcsin}}\left(\boldsymbol{{x}}\right) \\ $$$$\left(\boldsymbol{\mathrm{ii}}\right)\boldsymbol{\mathrm{f}}\left(\boldsymbol{{x}}\right)=\boldsymbol{\mathrm{arccos}}\left(\boldsymbol{{x}}\right) \\ $$$$\left(\boldsymbol{\mathrm{iii}}\right)\boldsymbol{\mathrm{f}}\left(\boldsymbol{{x}}\right)=\boldsymbol{\mathrm{arctan}}\left(\boldsymbol{{x}}\right) \\ $$