Question

Find the product wz in polar form. Then, express your answer in rectangular form:

w = 60(cos 1.7 + i sin 1.7)
z = 71(cos 4.4 + i sin 4.4)

Answer 1

We have

w = 60 (cos(1.7) + i sin(1.7)) = 60 exp(1.7i)

z = 71 (cos(4.4) + i sin(4.4)) = 71 exp(4.4i)

so then

wz = 60•71 exp(1.7i + 4.4i)

wz = 4260 exp(6.1i)

wz = 4260 (cos(6.1) + i sin(6.1))