Question

Write the complex number in rectangular form. 6( cos 225 + i sin 225) The complex number is (Simplify your answer, including any radicals. Type your answer in the form a +bi. Use integers

Answer 1

The rectangular form of the complex number is -3√2 - 3√2i.

To see why, recall that cos(225°) = -sin(45°) = -√2/2 and sin(225°) = -cos(45°) = -√2/2.

So we have:

6(cos 225 + i sin 225)

= 6(-√2/2 - i√2/2)

= -3√2 - 3√2i