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quester [9]
3 years ago
13

What is the rectangular form of z = 6(cos((3pi)/4) + i sin((3pi)/4))

Mathematics
1 answer:
kvv77 [185]3 years ago
4 0

Answer:

Z= -3 square root 2 + 3i square root 2

Step-by-step explanation:

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WILL MARK THE BRAINLIEST!! What are the amplitude, period, phase shift, and midline of f(x) = 2 sin(x + π) − 4?
xxMikexx [17]

Answer:

Step-by-step explanation:

Amplitude is twice the coefficent of the sine function. In this case, 2*2=4

Period is 2\pi divided by the coefficent of x, in this case, \frac {2\pi} 1 =2\pi

Phase shift, is how much you sum or subctract from x inside the sine, in this case \pi.

Midline you get by hiding the sine and reading what's left, in this case, -4.

3 0
3 years ago
the soccer field at Mario's school has an area of 6,000 square meters. how can mario show the area as a whole number multiplied
ruslelena [56]

6,000 = 6 x 10^3 square meters.
6,000 = 60 x 10^2 square meters
6,000 = 600 x 10^1 square meters.
You can pick which you wish to report in.
Hope this helps :-)
3 0
3 years ago
Read 2 more answers
PLEASE HELP ME.<br> THANKS!!!
Veronika [31]

Cos(x) = sin(x + 20o) Use the double cos angle formula

Cos(x) = sin(x)*cos(20) + cos(x)*sin(20) Divide through by cos(x). Tanx = sin(x)/cos(x)

1 = tan(x)*cos(20) + sin(20) Subtract sin(20) from both sides.

1 - sin(20) = tan(x)*cos(20) Calculate the value of 1 - sin(20)

0.65798 = tan(x) * 0.939692 Divide by cos(20)

tan(x) = 0.65795/0.939692

tan(x) = 0.70021 Take the inverse of 0.7) = tan(x)

x = tan-1(0.70021)

x = 35 degrees as expected.

Problem Two

The easiest way to do this is to pick random values and try it. The two acute angles are complementary. So 25 and 65 are random enough.

Let A = 25

Let C = 65

A

Tan(25) = sin(25)/sin(65) ; tan(25) = 0.4663.

sin(25)/sin(65) = 0.4663 Answer

B

Sin(90 - C) = Sin(A)

Tan(90 - A) = Tan(C)

So the question becomes Cos(A) = Tan(C) / sin(A)

Cos(25) = Tan(65)/Sin(25)

0.906 = ? 5.07 This statement isn't true.

C

Sin(65) = Cos(25)/Tan(65)

.906 = 0.4226 C is not the correct answer.

D

D isn't true. The tan does not relate that away. You can find it for yourself.

Cos(A) = Tan(C) You should get 0.906 = 2.14

E

Sin(C) = Cos(A) / Tan(A) I'll leave you to show this is wrong.

Problem 3

The diagram below is for this problem. Cos(x) = 50/100 = 0.5

x = cos-1(0.5)

x = 60 degrees.

Part 2

Sin(60) = opposite / hypotenuse

opposite = sin(60) * hypotenuse

opposite = 86.61 Be sure and round this to whatever the question says to round it to.



4 0
3 years ago
The last line of a proof represents
WARRIOR [948]
The last line of a proof represents: The conclusion!

5 0
3 years ago
What is the value of x?
kipiarov [429]
First of all, let’s find CB.
sin(45°) = CB : 6sqrt(2)
CB = 6
Now we can find CD
cos(60°) = x : 6
x = 3
7 0
2 years ago
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