Question Number 168176 by mnjuly1970 last updated on 05/Apr/22
$$ \\ $$$$\:\:\: \\ $$$$\:\:\:\mathrm{I}{f}\:,\:\:{f}\left({x}\right)=\frac{\:\:\mid\:{sin}\left(\mathrm{2}{x}\right)\mid}{\mid{sin}\left({x}\right)\mid+\mid{cos}\left({x}\right)\mid\:+\mathrm{1}} \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{then}\:\::\:\:\:\:\:\:{R}_{\:{f}} \:=?\:\:\:\:\:\:\:\:\left(\:{range}\:\right)\:\: \\ $$$$\:\:\:\:\:\: \\ $$
Answered by kapoorshah last updated on 05/Apr/22
$$\mathrm{0}\:\leqslant\:{f}\left({x}\right)\:\leqslant\:\sqrt{\mathrm{2}}\:−\mathrm{1} \\ $$