Question

Чему равен sin(3arcsin1/3)?

Answer 1

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

Answer 2

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