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lyudmila [28]
3 years ago
15

Find the standard form of the complex number 6(cos(30degree) +i sin (30 degree))

Mathematics
1 answer:
Marat540 [252]3 years ago
6 0

Answer:

= 3√3 + 3i

Step-by-step explanation:

Cos 30° = √3/2

Sin 30°  = 1/2

Therefore;

z = 6 (cos 30° + i6 sin 30°)

  = 6 (√3/2) + i 6 (1/2)

   = 3√3 + 3i

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Hi there!

<u><em>FACT</em></u><em>:</em>

<em>What you have there is an equilateral in which all three internal angles are congruent to each other and are each 60°.</em>

<u>STEPS TO ANSWER:</u>

I'm not really sure if you are looking for the value of "X" the angle or the value of "x" that is part of the expression that represents the value of the angle "Z".

1. If you are looking for the value of "X" the angle, it's pretty easy knowing that all internal angles are equal to 60°.

Your answer for the value of "X" the angle would be : X = 60°.


2. If you are looking for the value of the "x" that is part of the expression that represents the value of the angle "Z", you'll need to write this expression as equal to 60 and solve the equation by isolating "x" :

2x <u>- 4</u> = 60

Add 4 on each side of the equation → 60 + 4 = 64

<u>2</u>x = 64

Divide each side of the equation by 2 → 64 ÷ 2 = 32

x = 32

Your answer for the value of the "x" that is part of the expression that represents the value of the angle "Z" would be : x = 32.


There you go! I really hope this helped, if there's anything just let me know! :)

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