Question

Вычислите
tg(arcsin(-1)+arcsin1/2)
Решите пожалуйта!

Answer 1

$tg(arcsin(-1)+arcsinfrac{1}{2})=tg(frac{3pi}{2}+frac{pi}{6})=tg(frac{10pi}{6})=tg(pi + frac{2pi}{3})=\=tgfrac{2pi}{3}=tg(pi-frac{pi}{3})=-tgfrac{pi}{3}=-sqrt{3}$

Answer 2

tg(-π/2+ π/6)=tg(-π/3)=-√3