Пошаговое объяснение:
№2 . 1) arcsin(- √2/2) + 3π/4= - arcsin(√2/2)+ 3π/4 = - π/4 +3π/4 = 2π/4=π/2;
2) arccos1/2 - π/6 = π/3 - π/6 = π/6 ;
3) arctg1/√3 + 5π/6 = π/6 + 5π/6 = 6π/6 = π ;
4) 4arcctg√3 - 2π/3 = 4* π/6 - 2π/3 = 0 ;
5) arctg(- √3 ) + 4π/3 = - arctg√3 + 4π/3 = - π/3 + 4π/3 = 3π/3 = π ;
6) arcsin(- 1 ) + π/2 = - arcsin 1 + π/2 = - π/2 + π/2 = 0 ;
7) arccos( - √3/2 ) + 7π/6 = π - arccos( √3/2 ) + 7π/6 = π - π/6 + 7π/6 =
= 5π/6 + 7π/6 = 12π/6 = 2π ;
8) arcctg(- 1 ) + π/4 = π - arcctg1 + π/4 = π - π/4 + π/4 = π .
|x - 4| * (2x + 7) = 0
Приравняем к нулю оба множителя:
|x - 4| = 0
2x + 7 = 0
Решим каждый:
|x - 4| = 0
x - 4 = 0
x = 4
2x + 7 = 0
2x = -7
x = - 7 : 2
x = -3.5
ответ: -3,5; 4
|x + 1,7| * (2x + 3) = 0
Приравняем к нулю оба множителя:
|x + 1,7| = 0
2x + 3 = 0
Решим каждый:
|x + 1,7| = 0
x + 1.7 = 0
x = -1.7
2x + 3 = 0
2x = -3
x = -3 : 2
x = -1,5
ответ: -1,5; -1,7
|5x - 8| * (x - 6) = 0
Приравняем к нулю оба множителя:
|5x - 8| = 0
x - 6 = 0
Решим каждый:
|5x - 8| = 0
5x - 8 = 0
5x = 8
x = 8 : 5
x = 1.6
x - 6 = 0
x = 6
ответ: 1,6; 6
