Question

Решите уравнение sin2x / sin(3pi/2-x)= sqrt 2

Answer 1

sin2x=2sinxcosx

2sinxcosx/-cosx=√2

2sinxcosx=√2

sinx=√2/2

x=(-1)^n * arcsin(π/4)+πn

cosx=√2/2

x=±arccos(π/4)+2πn

1/-cosx=√2

cosx=-√2/2

x=±(π-arccos(π/4))+2πn