Answer:
[tex]cos(180\°)=-1[/tex]
[tex]sin(180\°)=0[/tex]
Step-by-step explanation:
we know that
In the unit circle the coordinates of the point belong to the x-axis for an angle equal to [tex]180\°[/tex] is [tex](-1,0)[/tex]
we have
[tex]x=1\ units, y=0\ units[/tex]
Applying Pythagoras theorem
[tex]H=\sqrt{1^{2}+0^{2}} =1[/tex]
so
[tex]cos(180\°)=x/H[/tex]
substitute
[tex]cos(180\°)=-1/1=-1[/tex]
[tex]sin(180\°)=y/H[/tex]
substitute
[tex]sin(180\°)=0/1=0[/tex]
