Question Number 10155 by Tawakalitu ayo mi last updated on 27/Jan/17
$$\mathrm{solve}\:\mathrm{for}\:\mathrm{x} \\ $$$$\mathrm{sin}\left(\mathrm{x}\right)\:−\:\sqrt{\mathrm{3cos}\left(\mathrm{x}\right)}\:=\:\mathrm{1} \\ $$
Answered by mrW1 last updated on 28/Jan/17
$$\mathrm{sin}\:\left({x}\right)=\mathrm{1}+\sqrt{\mathrm{3cos}\:\left({x}\right)}\geqslant\mathrm{1} \\ $$$$\Rightarrow\mathrm{sin}\:\left({x}\right)=\mathrm{1}\:{and}\:\mathrm{cos}\:\left({x}\right)=\mathrm{0} \\ $$$$\Rightarrow{x}=\frac{\pi}{\mathrm{2}}+\mathrm{2}{n}\pi,\:{n}\in\mathbb{Z} \\ $$
Commented by Tawakalitu ayo mi last updated on 28/Jan/17
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$