Subtract polar forms

Solve the following 5.2∠58° - 1.6∠-40° and give answer in polar form

Correct answer:

z = 5.6494 ∠74.288°

Step-by-step explanation:

Ax=5.2 cos58°=cos29π/90=2.75558 Ay=5.2 sin58°=sin29π/90=4.40985  Bx=1.6 cos(40)°=cos(2π/9)=1.22567 By=1.6 sin(40)°=sin(2π/9)=1.02846  Zx=AxBx=2.75561.22571.5299 Zy=AyBy=4.4099(1.0285)5.4383  m=Zx2+Zy2=1.52992+5.438325.6494 θ=arctan(Zy/Zx)=arctan(5.4383/1.5299)1.2966 rad φ=θ  °=θ π180   °=1.2966 π180   °=74.28761  °  z= m φ z=5.649474.288°

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