x = - π/12 + πn/2, n∈Z x = - π/4 + πk/2, k∈Z
Объяснение:
4 sin²(2x + π/3) - 1 = 0
sin²(2x + π/3) = 1/4
sin (2x + π/3) = ± 1/2
На рисунке показаны углы, синус которых равен ± 1/2.
2x + π/3 = π/6 + πn, n∈Z 2x + π/3 = - π/6 + πk, k∈Z
2x = - π/6 + πn, n∈Z 2x = - π/2 + πk, k∈Z
x = - π/12 + πn/2, n∈Z x = - π/4 + πk/2, k∈Z
Объяснение:
4 sin²(2x + π/3) - 1 = 0
sin²(2x + π/3) = 1/4
sin (2x + π/3) = ± 1/2
На рисунке показаны углы, синус которых равен ± 1/2.
2x + π/3 = π/6 + πn, n∈Z 2x + π/3 = - π/6 + πk, k∈Z
2x = - π/6 + πn, n∈Z 2x = - π/2 + πk, k∈Z
x = - π/12 + πn/2, n∈Z x = - π/4 + πk/2, k∈Z