Write the complex number 8(cos 30 +i sin 30) in standard form?

mfausantosngcl

mfausantosngcl

Answered question

2023-02-24

Write the complex number 8 ( cos 30 + i sin 30 ) in standard form?

Answer & Explanation

Troy Jimenez

Troy Jimenez

Beginner2023-02-25Added 3 answers

As you are aware (I suppose they are in degrees):
cos 30 ° = 3 2
sin 30 ° = 1 2
Hence:
z = 8 ( cos 30 ° + i sin 30 ° ) = 8 ( 3 2 ) + i 8 ( 1 2 ) =
= 4 3 + 4 i
in the form: a + i b

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