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tigry1 [53]
3 years ago
7

1. Without graphing, decide whether

Mathematics
1 answer:
Nat2105 [25]3 years ago
3 0

Answer:

1 solution

Step-by-step explanation:

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WILL GIVE BRAINLEST ANSWER IF ANSWERED IN THE NEXT 24 HRS Express the complex number in trigonometric form. -5i
trasher [3.6K]

Answer:

z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)

Step-by-step explanation:

If a complex number is z=a+ib, then the trigonometric form of complex number is

z=r(\cos \theta +i\sin \theta)

where, r=\sqrt{a^2+b^2} and \tan \theta=\dfrac{b}{a}, \theta is called the argument of z, 0\leq \theta\leq 2\pi.

The given complex number is -5i.

It can be rewritten as

z=0-5i

Here, a=0 and b=-5. \theta lies in 4th quadrant.

r=\sqrt{0^2+(-5)^2}=5

\tan \theta=\dfrac{-5}{0}

\tan \theta=\infty

\theta=2\pi -\dfrac{\pi}{2}    [\because \text{In 4th quadrant }\theta=2\pi-\theta]

\theta=\dfrac{3\pi}{2}

So, the trigonometric form is

z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)

4 0
3 years ago
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PLSSSS HELPPPP MEEEEE I WILLLL<br> GIVEEEE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!
olga55 [171]

Answer:

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Step-by-step explanation:

You did not post your question yet

5 0
3 years ago
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A clock that loses 5 seconds each hour has not been reset for 48 hours. What time does the clock show if the correct time is 8:4
nikklg [1K]

Answer:

8:45

Step-by-step explanation:

5x48=240 sec

240 sec = 4 min

8:49-4min= 8:45

7 0
2 years ago
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What is the area of this polygon?<br><br><br><br> Enter your answer in the box.<br><br><br> units²
never [62]
Area of rect. = 5 x 7 = 35
area of triangle = 1/2(2)(7) = 7

area of figure = 35 + 7 = 42
answer

42 <span>units²</span>
3 0
3 years ago
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PLEASE HELP ME WITH THIS QUESTION PLEASE
Ugo [173]

Answer:

a. 2.2 m

b. 8 m

Step-by-step explanation:

4) a. Sin 32 = x/4

= (sin 32)(4) = x

b. Cos 65 = 4.5/x

x = 4.5/Cos 65

6 0
2 years ago
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