Question

Чему равен sin(3arcsin1/3)?

Answer 1

$sin(3arcsindfrac{1}{3})=3sin(arcsindfrac{1}{3})-4sin^3(arcsindfrac{1}{3})=\ =3 cdot dfrac{1}{3}-4 cdot dfrac{1}{27}=boxed{dfrac{23}{27}}$

Answer 2

sin(3arcsin1/3)=
3•sin(arcsin1/3)-4sin³(arcsin1/3)=
(3*1/3)-4*(1/3)³=1-4/27=23/27

Answer 3

Спасибо