Find the following product, and write the product in rectangular form, using exact values.
[8( cos 45° + i sin 45°)][7( cos 165° + i sin 165°)]
[8( cos 45° + i sin 45°)][7(cos 165° + i sin 165°)] = IN
(Type your answer in the form a + bi.)

Writing each complex number in exponential form makes this very easy. Recall Euler's formula:

Then

(since 45º = π/4 rad)

(since 165º = 11π/12 rad)

The product is

and in Cartesian form this is

answer: 1) twenty-seven times y

              2) twenty-seven multiplied by y

answer: 5100 just subtract

step-by-step explanation: