Question

Write the complex number in the form a + bi. 5/2(cos 150° + i sin 150°)

Answer 1

Answer:

It's actually this

Step-by-step explanation

(told it to convert to rectangular form)

Answer 2

1) cos (150°)=- cos(180°-150°) = - cos(30°) and  - cos30° =  - √(3) / 2
sin(150°) = sin(180°-150°) =sin30. and sin30° = 1/2

Then : 5/2(cos 150° + i sin 150°) becomes : 5/2{(-√(3) /2 + I (1/2)]

OR 5/4( - √3 + i)