Question Number 5214 by sanusihammed last updated on 30/Apr/16
$${If}\:{cos}\theta\:=\:{x}\:\:\:{and}\:\:{sin}\mathrm{60}\:=\:\mathrm{0}.\mathrm{5} \\ $$$${Find}\:{the}\:{value}\:{of}\:\theta \\ $$
Commented by Rasheed Soomro last updated on 01/May/16
$$\mathrm{sin60}\neq\mathrm{0}.\mathrm{5} \\ $$
Commented by 123456 last updated on 01/May/16
$$\mathrm{sin}\:\mathrm{60}°=\frac{\sqrt{\mathrm{3}}}{\mathrm{2}} \\ $$$$\mathrm{cos}\:\mathrm{60}°=\frac{\mathrm{1}}{\mathrm{2}} \\ $$
Answered by FilupSmith last updated on 01/May/16
$$\theta\:=\:\mathrm{arccos}\left({x}\right)\:=\:\mathrm{cos}^{−\mathrm{1}} \left({x}\right) \\ $$