Final answer:
The solution to the division of the complex numbers 17∠45° and 22∠70° is found by dividing the magnitudes and subtracting the angles, which gives a result of 0.772727∠-25°.
Step-by-step explanation:
The question requires solving a division problem involving two complex numbers in polar form. The numbers are 17∠45° and 22∠70°. When dividing complex numbers in polar form, we divide the magnitudes and subtract the angles. Therefore, the solution is given by:
- Dividing the magnitudes: 17 ÷ 22 = 0.772727 (rounded to six decimal places)
- Subtracting the angles: 45° - 70° = -25°
The result of the division is 0.772727∠-25°. It is important to note that while this answer gives the magnitude and angle in degrees, in some contexts the angle might be given in radians, or the answer may be needed in rectangular form, requiring conversion from polar form.