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.