ТП
Тима Перелыгин
Ответ
tg A = a/b => a = b *tg A
sin A = a/c = b* tg A /c
cos A = b/c
sin^2 A + cos^2 A = 1
(b *tg A)^2 + (b/c)^2 = 1
b^2 * tg^2 A + b^2/c^2 = 1
b^2 * (c^2 * tg^2 A + 1) = c^2
b^2 = c^2 / (c^2 * tg^2 A + 1) =>
b = V{c^2 / (c^2 * tg^2 A + 1)}
a = b* tg A