Question

Find the cosine and sine of 180 degrees. Round your answers to the nearest hundredth if necessary.

Answer 1

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

Answer 2

`cos(180\°)=-1`

`sin(180\°)=0`

Explanation:

we know that

In the unit circle the coordinates of the point belong to the x-axis for an angle equal to
`180\°` is
`(-1,0)`

we have

`x=1\ units, y=0\ units`

Applying Pythagoras theorem

`H=\sqrt{1^(2)+0^(2)} =1`

so

`cos(180\°)=x/H`

substitute

`cos(180\°)=-1/1=-1`

`sin(180\°)=y/H`

substitute

`sin(180\°)=0/1=0`