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
kkurt [141]
3 years ago
13

Write the complex equation 8 + 3i in trigonometric form

Mathematics
1 answer:
Oxana [17]3 years ago
3 0

Answer:

z = 8.544[cos(20.6) + isin(20.6)}

Step-by-step explanation:

Given

8 + 3i

Required

Rewrite in trigonometric form.

The trigonometric form of a complex equation is

z = r[cosθ + isinθ]

Let a = 3 and b = 8

Where

r is calculated by

r² = b² + a²

And

θ is calculated by

θ = arctan(a/b)

Substituting 3 for a and 8 for b

r² = a² + b² becomes

r² = 3² + 8²

r² = 9 + 64

r² = 73

√r² = √73

r = √73

r = 8.544

Calculating θ

θ = arctan(a/b) becomes

θ = arctan(3/8)

θ = arctan(0.375)

θ = 20.556°

θ = 20.6 --- Approximated

Hence, z = r[cosθ + isinθ] becomes

z = 8.544[cos(20.6) + isin(20.6)}

You might be interested in
Due soon! Please help :)
scoray [572]

Answer:

Dining Hall = 24 square meters

Kitchen = 48 square meters

Together = 72 square meters

3 0
3 years ago
Heart beats 2,320 times during 20 minutes of rowing. While resting the heart is beating 16 times in 15 seconds. What is the diff
Mrac [35]

Answer: 0.87 times per second  (Or 52.2 times per minute)

Step-by-step explanation:

You need to make the conversion from minutes to seconds.

Remember that 1 minute has 60 seconds. Then 20 minutes to seconds is:

(20minutes)(\frac{60seconds}{1minute})=1,200seconds

Find the number of times the heart beats in 1 second when it is rowing:

x_1=\frac{(2,320times)}{1,200seconds}=1.93\ times\ per\ second

Find the number of times the heart beats in 1 second when it is resting:

x_2=\frac{(16times)}{15seconds}=1.06\ times\ per\ second

Then the difference is:

difference=(1.93-1.06)\ times\ per\ second\\difference=0.87\ times\ per\ second

(Or 52.2 times per minute)

6 0
4 years ago
Read 2 more answers
Which of the following sets is NOT dlosed under addition?
sergij07 [2.7K]

Answer:

Odd numbers.

Step-by-step explanation:

Closed under addition means you will able to take any two numbers from whatever set is mentioned and add them to get a number in that same set.

(If I say counting numbers, I'm still talking about the natural numbers.)

So let's look at the natural numbers {1,2,3,4,5,6,...}.

1+1=2

1+2=3

1+3=4

...

6+19=25

Let a and b be counting numbers.

a+b is still going to be a counting number.

You will always get a counting number when adding two counting numbers. So the counting numbers (also known as the natural numbers) is closed under addition.

Let's skip down to odd numbers because the other sets are similar to the first.

Let's add a pair of odd numbers.

3+5=8

8 is not odd so the odd numbers are not closed under addition because we will not always get an odd number. In fact, you will never get a odd number, but the thing is you just need one example to show it is not closed.

(2k+1)+(2a+1)

2(k+a)+2

2(k+a+1) is even so adding two odds will always give you an even.

4 0
3 years ago
Read 2 more answers
Which is another way to write 12x10 exponent 3
adoni [48]
12(10^3) is my answer
3 0
3 years ago
Read 2 more answers
Which description is represented by a discrete graph
VashaNatasha [74]

The statement: "Kiley bought a platter for $ 19 and several matching bowls that were $ 8 each. What is the cost before tax?" shows discrete graph.

<h3> </h3><h3>What is Discrete Graph?</h3>

A discrete graph is one with scattered points. They may or may not show a direction or trend. They don't have data in between the points already given.

Here only first option shows a graph with scattered point.

Thus, the statement: "Kiley bought a platter for $ 19 and several matching bowls that were $ 8 each. What is the cost before tax?" shows discrete graph.

<h3 />

Learn more about Discrete graph from:

brainly.com/question/9697809

#SPJ1

4 0
2 years ago
Other questions:
  • Can 12/15 be simplified
    8·1 answer
  • How many times can i write the number 6 on 7 cards
    14·1 answer
  • An example how multiplication<br><br> is assocative
    10·1 answer
  • The sum of a rational number and an irrational number produces an irrational number.
    5·2 answers
  • How do you solve this problem??​
    13·1 answer
  • Which expressions are differences of squares?
    6·1 answer
  • ASAP pls help pls pls pls
    9·1 answer
  • Helpppppppppppppppppppp plsss
    10·1 answer
  • Combine like terms to create an equivalent expression.<br> 3.4-2.8d+2.8d-1.33.4−2.8d+2.8d−1.3
    13·1 answer
  • Evaluate: 5/6 + 4/9 =___?​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!