we are given
[tex] cos(90)=0 [/tex]
we can use formula
[tex] cos(90-\theta)=sin(\theta) [/tex]
we can rewrite it as
[tex] cos(90-0)=sin(0) [/tex]
so, we get
[tex] cos(90)=sin(0) [/tex]
we can plug back cos(90)
[tex] cos(90)=sin(0)=0 [/tex]
so,
[tex] sin(0)=0 [/tex]............Answer