Respuesta :

sin(180)=0, cos(180)=-1

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]

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