RekkerY437612 RekkerY437612
  • 30-10-2022
  • Mathematics
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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°)

Find the standard form of the complex number Use exact values and be sure to simplify Show all work8cos 30 small isin 30 class=

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ThanosC298691 ThanosC298691
  • 30-10-2022

Answer:

4√3 + 4i

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

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