β是第四象限角
则cosβ>0
cosβ=√(1-sin²β)=3/5
tanβ/2=(1-cosβ)/sinβ=(1-3/5)/(-4/5)=-1/2
cosβ=1-2sin²β/2
sinβ/2=±√(1-cosβ)/2
=±√(1-3/5)/2
=±√5/5
cosβ/2=sinβ/2÷anβ/2
=±√5/5÷(-1/2)
=±2√5/5
β是第四象限角
则cosβ>0
cosβ=√(1-sin²β)=3/5
tanβ/2=(1-cosβ)/sinβ=(1-3/5)/(-4/5)=-1/2
cosβ=1-2sin²β/2
sinβ/2=±√(1-cosβ)/2
=±√(1-3/5)/2
=±√5/5
cosβ/2=sinβ/2÷anβ/2
=±√5/5÷(-1/2)
=±2√5/5