Convert the Cartesian coordinate 5 1 to polar coordinates 0

Convert the Cartesian coordinate (5, -1) to polar coordinates, 0 lessthanorequalto theta

We have given cartesian (x,y)=(5,-1)

We know the formula r=sqrt(x^2 +y^2) and cos(theta)=x/r

r=sqrt((5)^2 +(-1)^2) =sqrt(26)

cos(theta)=x/r = 5/sqrt(26)

theta =arccos(5/sqrt(26)) = 11.31 degrees

Therefore r=sqrt(26) and theta =11.31 degrees