sin^3 х+cos(х-3п/2)=0

Question

sin^3 х+cos(х-3п/2)=0

Answer 1

sin^3 х+cos(х-3п/2)=0

sin^3x-sinx=0

sinx(sin^2x-1)=0

sinx=0

x=pik, k∈Z

 

sin^2x=1

sinx=±1

sinx=1

x=pi/2+2pik, k∈Z

sinx=-1

x=-pi/2+2pik, k∈Z

 

ОТВЕТ:

x=pik, k∈Z

x=pi/2+2pik, k∈Z

x=-pi/2+2pik, k∈Z