Write the complex number in the form a + bi. Five divided by two(cos 150° + i sin 150°)

Solution:

Five divided by two(cos 150° + i sin 150°)

It can be mathematically represented as

5/2 (cos 150° + i sin 150°)

We know that

cos 150° = cos (90 + 60) = - sin 60° = -√3/2

sin 150° = sin (90 + 60) = cos 60° = 1/2

By substituting the values in the complex number

5/2 (-√3/2 + i(1/2))

= 5/2 (-√3/2 + i/2)

= - 5√3/4 + 5i/4 of the form a + bi

Therefore, the complex number in the form a + bi is (- 5√3/4 + 5i/4).

Write the complex number in the form a + bi. Five divided by two(cos 150° + i sin 150°)

Summary:

The complex number in the form a + bi for Five divided by two(cos 150° + i sin 150°) is (- 5√3/4 + 5i/4).