Question

Решить тригонометрическое уравнение.

Answer 1

SIN(x/10)=-√2/2

sin(p-x/10)=-√2/2

x/10=arcsin(-√2/2)

p-x/10=arcsin(-√2/2)

x/10=-p/4

p-x/10=-p/4

x/10=-p/4+2pk k€Z

p-x/10=-p/4+2pk k€Z

x=35p/2+20pk k€Z

x=25p/2-20pk k€Z