Объяснение:
sin2160° =sin(360°*6)=sin0=0
sin β / (1+cos β) + cos β/sin β=(sin² β+ cos β+cos² β)/(sin β+cos β*sin β)=
(1-cos² β+ cos β+cos² β)/(sin β+cos β*sin β)=(1+cos β)/(sin β(1+cos β))=1/sin β
Объяснение:
sin2160° =sin(360°*6)=sin0=0
sin β / (1+cos β) + cos β/sin β=(sin² β+ cos β+cos² β)/(sin β+cos β*sin β)=
(1-cos² β+ cos β+cos² β)/(sin β+cos β*sin β)=(1+cos β)/(sin β(1+cos β))=1/sin β