What is the Cartesian form of $(-1,(5pi)/4))$ ?

Question

3532 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-01-21T10:32:25

The Cartesian form is $( (sqrt(2))/2, (sqrt(2))/2 )$ .

We can use $x=rcos(theta)$ and $y=rsin(theta)$ to convert:

$x=-1cos((5pi)/4)=-1(-sqrt(2)/2)=(sqrt(2))/2$
$y=-1sin((5pi)/4)=-1(-sqrt(2)/2)=(sqrt(2))/2$

So the Cartesian form is $( (sqrt(2))/2, (sqrt(2))/2 )$ .

What is the Cartesian form of (-1,(5pi)/4))(-1,(5pi)/4))?