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Mandarinka [93]
3 years ago
14

I need help with this question ASAP

Mathematics
1 answer:
marta [7]3 years ago
7 0

g = 9

...........................

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Use demoivre's theorem to show that;<br>cos4¤ =8 cos4¤ -8cos2¤+1​
ss7ja [257]

Answer:

\cos4( \theta)=Re(\cos4( \theta)+i\sin4( \theta)) \\=Re(\cos ( \theta)+i\sin ( \theta))^4 \\  =Re(cos^4( \theta)+4cos^3( \theta)isin( \theta)+6cos^2( \theta)i^2sin^2( \theta)+4cosi^3( \theta)sin^3( \theta)+i^4sin^4( \theta)) \\cos( 4\theta) =cos^4( \theta)-6cos^2( \theta)sin^2( \theta)+sin^4( \theta) \\ =(1-\sin^2( \theta))^2-6(1-\sin^2( \theta))\sin^2( \theta)+sin^4( \theta) \\ =  1-2\sin^2( \theta)+\sin^4( \theta)-6\sin^2( \theta)+6\sin^4( \theta)+\sin^4( \theta) \\ =8\sin^4( \theta)-8\sin^2( \theta)+1

7 0
3 years ago
The formula for calculating annual insurance premiums is
Ulleksa [173]
The formula for calculating the annual insurance is D. p= 2rb
8 0
3 years ago
Gareth selected a tile randomly from the set shown below. What is the probability that he selected a yellow tile or a tile with
Whitepunk [10]

Answer:

D. 19/30

Step-by-step explanation:

count how many tiles there are and then count how many yellow tiles and odd tiles there are. add the number yellow and odd tiles together and divide the sum by how many tiles there are.

60 tiles

3 yellow tiles

35 odd tiles

35+3=38

38/60=19/30

6 0
4 years ago
Read 2 more answers
Can someone pls help! I’m desperate
tia_tia [17]

Answer:

The number of children tickets sold was 610.

Step-by-step explanation:

Let

x ----> the number of adults tickets sold

y ----> the number of children tickets sold

we know that

x+y=1710 -----> equation A

50x+25y=70250 ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (1100,610)

therefore

The number of children tickets sold was 610.

4 0
3 years ago
The simple interest on a sum of money invested for 6 months at 5% per annum is $1680. Find the amount of money invested
olga55 [171]

9514 1404 393

Answer:

  $67,200

Step-by-step explanation:

The amount if interest is given by the formula ...

 I = Prt

where P is the amount invested, r is the annual rate, and t is the number of years. Here, we want to find P when r = 0.05 and t = 1/2 such that I = 1680.

  P = I/(rt) = $1680/(0.05·0.5) = $1680/0.025

  P = $67,200

The amount invested was $67,200.

3 0
3 years ago
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