Question

Required information Let X=14∠40ºand Y=20∠−30º.

NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.

The polar form of the quantity (X−Y)∗is ______ ∠− _______. Please report your answer so the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degrees.

Answer 1

The solution involves converting complex numbers from polar to rectangular form for subtraction and then converting back to polar form to find the conjugate of the difference.

Step-by-step explanation:

To find the polar form of (X−Y)*, where X and Y are complex numbers given as X=14∠40° and Y=20∠−30°, we need to calculate the complex conjugate of the difference between X and Y.

To perform the subtraction of Y from X in polar form, we would convert each to rectangular form (using cos(θ)+isin(θ)) for the magnitude and angle, subtract the real and imaginary parts respectively, and then convert the result back to polar form. However, since we are asked for the conjugate of the result, the angle of the resulting complex number will be negated.