3. Find the polar form of the follow expression3 √2 - 3 √2i?

Question

3. Find the polar form of the follow expression3 √2 - 3 √2i?

Answer 1

r =  Ã¢ÂˆÂš[a² + b²], therefore,

r = √[3²√2² + -3²√2²];

r = √[9*2 + 9*2];

r = √[18 + 18];

r = √[36];

r = 6.

tan φ = a/b = (3√2)/(-3√2) = -1;

therefore, φ = -π/4.

The polar form is then:

6(cos(-π/4) + i sin(-π/4)).