1) $$sin (4 arcsin 1)$$
$$arcsin 1 = \frac{\pi}{2}$$,
$$sin(4 arcsin 1) = sin(4 \cdot \frac{\pi}{2}) = sin(2\pi) = 0$$
2) $$sin (3 arcsin \frac{\sqrt{3}}{2})$$
$$arcsin \frac{\sqrt{3}}{2} = \frac{\pi}{3}$$,
$$sin(3 arcsin \frac{\sqrt{3}}{2}) = sin(3 \cdot \frac{\pi}{3}) = sin(\pi) = 0$$
3) $$cos (6 arcsin 1)$$
$$arcsin 1 = \frac{\pi}{2}$$,
$$cos(6 arcsin 1) = cos(6 \cdot \frac{\pi}{2}) = cos(3\pi) = -1$$
4) $$tg(4arcsin \frac{\sqrt{2}}{2})$$
$$arcsin \frac{\sqrt{2}}{2} = \frac{\pi}{4}$$,
$$tg(4 arcsin \frac{\sqrt{2}}{2}) = tg(4 \cdot \frac{\pi}{4}) = tg(\pi) = 0$$
Ответ:
1) 0
2) 0
3) -1
4) 0