Question

write the complex number in the form a+bi . 8(cos30+isin30)

Answer 1

Hello,

since sin 30°=1/2 and cos 30°=√3/2
then
8(cos 30+i sin 30°)=8*(√3/2+i/2)=4√3+4i

Answer 2

The complex expression in the form of a + bi will be 4√3 + 4 i.

What is a complex number?

The complex number is the combination of the real part and the imaginary part. Then the complex number is given as

⇒ a+bi

The complex expression is given below.

Then we have

⇒ 8(cos30 + i sin30)

We know that

cos 30 = √3/2

sin 30 = 1/2

Then we have

⇒ 8(√3/2 + i 1/2)

⇒ 4√3 + 4 i

More about the complex number link is given below.

https://brainly.com/question/10251853

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