Question Number 199498 by ajfour last updated on 04/Nov/23
Commented by ajfour last updated on 04/Nov/23
$${Outer}\:\bigtriangleup\:{is}\:{right}\:{angled}.\:{Given}\:{p},\: \\ $$$${determine}\:{q}\:{in}\:{terms}\:{of}\:{p}. \\ $$
Answered by ajfour last updated on 04/Nov/23
Commented by York12 last updated on 04/Nov/23
$$\mathrm{ur}\:\mathrm{really}\:\mathrm{good}\:\mathrm{at}\:\mathrm{geo}\:,\:\mathrm{recommend}\:\mathrm{a}\:\mathrm{book}\:\mathrm{please} \\ $$
Commented by ajfour last updated on 05/Nov/23
$${G}.{Dorofeev} \\ $$$$\left({Elementary}\:{Mathematics}\right) \\ $$
Commented by York12 last updated on 05/Nov/23
$$\mathrm{Thanks} \\ $$
Answered by mr W last updated on 05/Nov/23
$$\mathrm{cos}\:\mathrm{3}\alpha={p}\:\Rightarrow\alpha=\frac{\mathrm{cos}^{−\mathrm{1}} {p}}{\mathrm{3}} \\ $$$${q}=\mathrm{sin}\:\alpha=\mathrm{sin}\:\left(\frac{\mathrm{cos}^{−\mathrm{1}} {p}}{\mathrm{3}}\right) \\ $$