Задание
Установите соответствие между уравнением и его решением.
sinx = a, 0< a <1
sin x = a, -1< a< 0
sin x = a, a < -1
sin x = -1
sin x = 0
sinx = 1
cosx = a, 0< a <1
cosx = a, -1< a <0
cosx = a, a > 1
cosx = -1
cosx = 0
cosx = 1
tgx = a
tgx = -a
ctgx = a
ctgx = -a
x = (-1)k arcsin a + πk, k∈Z
x = (-1)k+1 arcsin a + πk, k∈Z
Нет корней
x = \(-\dfrac{\pi}{2}\) + 2πk, k∈Z
x = πk, k∈Z
x = \(\dfrac{\pi}{2}\) + 2πk, k∈Z
x = ±arccos a + 2πn, n∈Z
x = ±(π - arccos a) + 2πn, n∈Z
Нет корней
x = π + 2πn, n∈Z
x = \(\dfrac{\pi}{2}\) + πn, n∈Z
x = 2πn, n∈Z
x = arctg a + πk ,k∈Z
x = -arctg a + πk, k∈Z
x = arcctg a + πn, n∈Z
x = π - arcctg a + πn, n∈Z