1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vitek1552 [10]
2 years ago
12

Convert 3 - 3i to polar form.

Mathematics
1 answer:
Blababa [14]2 years ago
3 0

Answer:

Option d is correct that is z=\sqrt{18} cos(\frac{7\pi}{4})+i sin(\frac{7\pi}{4})

Step-by-step explanation:

We have been given a complex number 3-3i we have to convert it in the polar form:

polar form of a complex number:

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

Where, r=\sqrt{x^2+y^2}

the general form of complex number is:

x+iy

Here, x=3 and y=-3

Hence, r=\sqrt{3^2+(-3)^2}=\sqrt{18}

And \theta=tan^{-1}\frac{y}{x}

   \theta=tan^{-1}\frac{-3}{3}

\Rightarrow \theta=tan^{-1}(-1)

\Rightarrow \theta=2{\pi}-\frac{\pi}{4}

\Rightarrow \theta=\frac{7\pi}{4}

Hence, substituting all the values in polar form formula we get:

z=\sqrt{18} cos(\frac{7\pi}{4})+i sin(\frac{7\pi}{4})

Therefore, option d is correct.

You might be interested in
What is the distance between (-5,4) and (-1, 4)
Shtirlitz [24]

Answer:

5 units

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the y-intercept of the equation y=6 - 7x
ipn [44]

Answer:

6

Step-by-step explanation:

change it around:

y=-7x+6

6 is the y

Hope this helps plz hit the crown :D

6 0
3 years ago
the ratio of isabellas money to shanes money is 3:11. if isabella hass $33 how mutch money do shane and isabella have together
valkas [14]
3/11 = 33/x
cross multiply
3x = 11 * 33
3x = 363
x = 363/3
x = 121 <===Snane's money

121 + 33 = 154 <== together they have $ 154
3 0
3 years ago
Which Expression has a value of 39?
vampirchik [111]
D has a value of 39.
8 0
2 years ago
Hey There! i need ur help Please​!!!!
Amiraneli [1.4K]

Answer:

35 5x7=35

Step-by-step explanation:)

35 hope you love it

5 0
2 years ago
Other questions:
  • A sample of 92 observations is taken from a process (an infinite population). the sampling distribution of x̄ is approximately n
    15·1 answer
  • Which absolute value function has a graph that is wider than the parent function when graphed represents the parent function f(x
    12·2 answers
  •  20 points!! Can you help me with this math problem??
    7·1 answer
  • Graph the linear equation with 3 points
    14·1 answer
  • What 21/12 in simplest form
    10·2 answers
  • Ibrahim likes to run a loop around the park near his house that is ⅞ mile long. There is a water fountain ½ way around the loop.
    9·1 answer
  • A map has a scale of 2 inches : 12 miles. Two cities on the map are 6.5 inches apart. Find the actual distance between the two c
    9·1 answer
  • Help me plz and thank you
    7·1 answer
  • G (r)=-5r+13<br> g(3) Evaluate Functions
    9·1 answer
  • 12/19 - 1/2<br> 5/7 + 3/8<br><br> Solve these two I will mark you brainliesat
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!