Вычислить: 1) arcsin (-1/2) 2) arccos (-1/2) 3) arcsin (-√2/2) 4) arccos (-√2/2)

Вычислим значения выражений:

1) arcsin (-1/2) = - arcsin (1/2) = - arcsin (sin (pi/6)) = - pi/6;

2) arccos (-1/2) = pi - arccos (1/2) = pi - arccos (cos (pi/3)) = pi - pi/3 = (3 * pi - pi) / 3 = 2 * pi/3;

3) arcsin (-√2/2) = - arcsin (√2/2) = - arcsin (sin (pi/4)) = - pi/4;

4) arccos (-√2/2) = pi - arccos (√2/2) = pi - arccos (cos (pi/4)) = pi - pi/4 = 4 * pi/pi - pi/4 = (4 * pi - pi) / 4 = 3 * pi/4.