Question

sin(x/3+pi/4)=-1 решите уравнение

Answer 1

Sin y=-1 y= 3pi/2 , x/3 + pi/4 = 3pi/2 x/3 = 6pi/4 - pi/4 =5pi/4 x =15pi/4 =7pi/4(периодичность) = 315°

Answer 2

arsin на промежутке --pi/2; pi/2

Answer 3

sin(x/3+π/4)=-1
x/3+π/4=-π/2+2πn, n∈Z
x/3=-3π/4+2πn, n∈Z
x=-9π/4+6πn, n∈Z
Ответ: x=-9π/4+6πn, n∈Z