Question

Find the standard form of the complex number. Use exact values and be sure to simplify. Show all work.8(cos 30° + \small isin 30°)

Answer 1

4√3 + 4i

Step-by-step explanation:

To find the standard form, we need to know the value for cos30 and sin30, so

cos30 = (√3)/2

sin30 = 1/2

So, replacing these values, we get:

8(cos30 + isin30)

8(cos30) + 8(sin30)i

8(√3)/2 + 8(1/2)i

4√3 + 4i

Therefore, the standard form is

4√3 + 4i