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Mashutka [201]
3 years ago
14

Express (sin 30 + i cos 30)^18​

Mathematics
1 answer:
Savatey [412]3 years ago
8 0

Answer:

-i.

Step-by-step explanation:

Applying DeMoivre' s theorem:

(sin 30 + i cos 30)^18​

= sin(18*30) + i cos(18*30)

= sin 540 + i cos 540

= sin (3*180) + i cos (3*180)

= 0 + -1 * i

= -i.

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"A. 4x^4 is the answer so try that."
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Solve the proportion 40/z+1 = 15/6
vovangra [49]

Answer:

<h2>z = 15</h2>

Step-by-step explanation:

\frac{40}{z + 1}  =  \frac{15}{6}  \\

<u>Cross multiply </u>

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15(z + 1) = 40(6) \\ 15z + 15 = 240

<u>Send 15 to the right side of the equation</u>

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3 years ago
Drag steps in the given order to evaluate this expression. <br><br> (4)(−3)−5−3(−6)
never [62]

Answer:

1

Step-by-step explanation:

using PEDMAS(parentheses, exponents, division, multiply, addition, subtraction) to solve the problem

First we multiply (4)(-3)

(4)(−3)−5−3(−6)

Then multiply -3(-6)

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subtract 12-5

-12-5+18

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Adding -17+18 gives us 1.

Therefore,  (4)(−3)−5−3(−6) is 1.

3 0
4 years ago
What is the value of x?
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Answer:

X=98°

Step-by-step explanation:

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<em>remember its important to find the inner degree before the outer.</em>

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