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°



Did you find an error or inaccuracy? Feel free to write us. Thank you!



Showing 1 comment:




Tips for related online calculators
Try our complex numbers calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: