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spayn [35]
4 years ago
14

Express the complex number -3i in trigonometric form.

Mathematics
2 answers:
photoshop1234 [79]4 years ago
8 0

Answer:

b. 3(cos 270° + i sin 270°)

Step-by-step explanation:

took the test

schepotkina [342]4 years ago
3 0
Use the formula z=a+bi=|z|(cosθ+isinθ), with |z|=√(a²+b²), and tanθ=b/a<span>

in this case, a=0, b=-3 so </span>|z|=√0²+(-3)²)=3
tanθ=\frac{-3}{0}, notice the denominator is 0, undefined, so the value of θ=π/2
Substitute the values of <span>θ=π/2</span> and <span>|z|=3</span>. into the formula, you'll get <span>3(cos(</span>\frac{ \pi }{2})+isin(\frac{ \pi }{2}))
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Find the difference <br> a. 41- 275 <br> b. -15 - 47<br> c. -72 - (-151) <br> d. 612 - (-144)
Gekata [30.6K]

Answer:

41-275=234

15-47=62

-72-{151}=223

612-144=174

Step-by-step explanation:

6 0
3 years ago
How to solve all of this
photoshop1234 [79]
Start circle: πd = (3.14)(19) = 59.7

Move diagonally to the circle with the radius of 6.2.

Second circle: 2πr = 2(3.14)(6.2) = 39

Move upwards to the circle with the radius of 10.5

third circle: 2πr = 2(3.14)(10.5) = 66

Move right to the circle with the diameter of 16.6

Fourth circle: πd = (3.14)(16.6) = 52.2

Move down to the circle with the diameter of 7.7

fifth circle: πd = (3.14)(7.7) = 24.2

Move down to the circle with the diameter of 50

Sixth circle: πd = (3.14)(50) = 157.1

Move left to the circle with the radius of 11.8

Seventh circle: 2πr = 2(3.14)(11.8) = 74.1

Move down to the circle with the radius of 38

Eight circle: 2πr = 2(3.14)(38) = 238.8

Move right to the circle with the diameter of 1.1

ninth circle: πd = (3.14)(1.1) = 3.5

Move right to the circle with the radius of 14.8

10th circle = 2πr = 2(3.14)(14.8) = 93

Move up to the end.

Hope this helps :) 
7 0
3 years ago
What Is The Similarity Between 85,17,19,4,2
aalyn [17]
If a(n) = (39n^4 -506n^3 + 2341n^2 - 4610n + 3416) / 8 then 

<span>a(1) = 85 </span>
<span>a(2) = 17 </span>
<span>a(3) = 19 </span>
<span>a(4) = 4 </span>
<span>a(5) = 2</span>
8 0
3 years ago
A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32 centimeters, and the le
nataly862011 [7]

Answer:

Step-by-step explanation:

You need the Pythagorean Theorem to solve this question. There is no be part.

Equation

c^2 = a^2 + b^2

Givens

a = 32

b = 21

c = ?

Solution

c^2 = a^2 + b^2              Substitute the values

c^2 = 32^2 + 21^2          Expand

c^2 = 1024 + 441            Combine

c^2 = 1465                     Take the square root of both sides

√c^2 = √1465  

c = 38.275

Answer: 38.3 rounded

6 0
2 years ago
Can Someone Help Me With This:
bija089 [108]
The picture is not loading.
8 0
3 years ago
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