Subtracting complex in polar

Given w =√2(cosine (pi/4) + i sine (pi/4) ) and z = 2 (cosine (pi/2) + i sine (pi/2) ).

What is w - z expressed in polar form?

Correct answer:

m =  1.4142
A =  -0.7854 rad

Step-by-step explanation:

wx=2 cos(π/4)=2 cos(3.1416/4)=1 wy=2 sin(π/4)=2 sin(3.1416/4)=1  zx=2 cos(π/2)=2 cos(3.1416/2)1.22461016 zy=2 sin(π/2)=2 sin(3.1416/2)=2  x=wxzx=11.22461016=1 y=wyzy=12=1  m=x2+y2=12+(1)2=2=1.4142
A=arctan(y/x)=arctan((1)/1)0.7854 rad  α=A  °=A π180   °=(0.7854) π180   °=45  °

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