If (a,b) is a are the coordinates of a point in Cartesian Plane, u is its magnitude and alpha is its angle then (a,b) in Polar Form is written as (u,alpha).
Magnitude of a cartesian coordinates (a,b) is given bysqrt(a^2+b^2) and its angle is given by tan^-1(b/a)
Let r be the magnitude of (-3,4) and theta be its angle.
Magnitude of (-3,4)=sqrt((-3)^2+4^2)=sqrt(9+16)=sqrt25=5=r
Angle of (-3,4)=Tan^-1(4/-3)=Tan^-1(-4/3)=-53.13^0
implies Angle of (-3,4)=-53.13^0
But the given point (-3,4) is in second quadrant so we have to add 180^0 in the angle.
implies Angle of (-3,4)=-53.13^0+180^0=126.87^0=theta
implies (-3,4)=(r,theta)=(5,126.87^0)
implies (-3,4)=(5,126.87^0)
Note that the angle is given in degree measure.
