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g100num [7]
3 years ago
14

Please help I’m so confused Find: cos A

Mathematics
1 answer:
kobusy [5.1K]3 years ago
8 0

Answer:15/17

Step-by-step explanation:

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Hi, I am new to this website :) I'm currently taking an online trig class on De Moivre's theorem and I don't understand it at al
Vladimir [108]
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.

For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes

[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))] 

it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.

For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)

[2^6(cos(40*6))+isin(40*6)],

[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)

And the answer is -32 -32 √3 i

Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i

7 0
3 years ago
Pythagorean Theorem, A flag pole is 86 inches long. Can it be stored against a closet wall that measures 30 inches by 80 inches?
Flauer [41]

Answer:

no

Step-by-step explanation:

3 0
3 years ago
Anyone know how to solve this??
Tom [10]

Given : \frac{(x^\frac{2}{5})^9\;.\;(x^\frac{-4}{15})}{x^\frac{1}{3}}

\implies {(x^\frac{18}{5})\;.\; (x^\frac{-4}{15})}\;.\;(x^\frac{-1}{3})

\implies x^(^\frac{18}{5} ^-^\frac{4}{15}^-^\frac{1}{3}^)

\implies x^(^(^\frac{54 - 4}{15}^)^-^\frac{1}{3}^) = x^(^(^\frac{50}{15}^)^-^\frac{1}{3}^) = x^(^(^\frac{10}{3}^)^-^\frac{1}{3}^) = x^(^\frac{9}{3}^) = x^3

\implies x^k = x^3

\implies k = 3

7 0
3 years ago
Lorde help me<br> surface area 10 points
USPshnik [31]

Answer:

1560 in^2

Step-by-step explanation:

10x22 = 220 bottom rectangle

1/2(10)(24) = 120 side triangle

22x26 = 572 front rectangle

24x22 = 528 back rectangle

220+120+120-572+528= 1560

6 0
2 years ago
HURRY!!!! MERELY 5 MINUTES BEFORE I DELETE THIS!!!!!!!
ss7ja [257]

Answer:

1)247 + 211 = 458

2)458 - 211 = 247

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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