Question

If A=10∠21∘ and B=2∠35.6∘, determine the quotient A/B in rectangular form.

Answer 1

To determine the quotient A/B in rectangular form, divide their magnitudes and subtract their angle values. The quotient A/B in rectangular form is 5∠-14.6°.

Step-by-step explanation:

To determine the quotient A/B in rectangular form, we need to divide the magnitudes and subtract the angle values. Let's start by dividing the magnitudes: A/B = (10/2) = 5. Now, let's subtract the angle values: 21° - 35.6° = -14.6°. Therefore, the quotient A/B in rectangular form is 5∠-14.6°.

To determine the quotient A/B in rectangular form sometimes, A and B must be converted from polar to rectangular coordinates. The division is performed by multiplying both the numerator and the denominator by the conjugate of B. The calculations yield a quotient in the form a + bi.