1 answer

How would I find the standard form of the complex number #9(cos((7pi)/6)=isin((7pi)/6))#?

Question:

How would I find the standard form of the complex number #9(cos((7pi)/6)=isin((7pi)/6))#?

Answers

Just evaluate the trigonometric functions and expand to get #-(9sqrt(3))/2-9/2 i# (standard form for a complex number is #a+bi#, where #a,b\in RR#)

Explanation:

Note that #cos((7pi)/6)=-sqrt(3)/2# and #sin((7pi)/6)=-1/2#. Therefore

#9(cos((7pi)/6)+i sin((7pi)/6))=9(-sqrt(3)/2-i 1/2)#

#=-(9sqrt(3))/2-9/2 i#

.

Similar Solved Questions

1 answer
Through the classifieds of the Miami Herald Rhonda Brennan found her first job after graduating from...
Through the classifieds of the Miami Herald Rhonda Brennan found her first job after graduating from college. She was delighted when the offer came through at $15.60 per hour. She completed her W-4 stating that she is married with a child and claims an allowance of 3. Her company will pay her biweek...
1 answer
Ory quiz 1 Saved Why is the composition of alveolar air different from that of the...
ory quiz 1 Saved Why is the composition of alveolar air different from that of the atmosphere? Essay Toolbar navigation 02:27:12 BI y SE 31 7 15 AA- Correctly label the components of the upper respiratory tract. 2 02:1138 Septal cartilage Vomer Perpendicular plate Oropharynx Nasopharynx Laryngophary...
1 answer
The flight attendant had to ask her twice, “Anything to drink, ma’am?” “Oh, sorry. Water, no...
The flight attendant had to ask her twice, “Anything to drink, ma’am?” “Oh, sorry. Water, no ice, please,” said Noelle Freeman, the CFO of Franklin Climate Systems. Watching the clouds out her window at 30,000 feet, she’d been deep in thought. She was on her way h...
1 answer
Equilibrium of rigid bodies
A uniform rod AB of length l and weight W is suspended from two cords AC and BC of equal length.Determine the angle Θ corresponding to the equilibrium position when a couple M is applied to the rod?...
1 answer
A small object P moves along a straight path. The position coordinate of P is known...
A small object P moves along a straight path. The position coordinate of P is known to be x = (t^2 - 2t + 10) meters, where t is time in seconds. The total distance traveled by P in 10s is? 082 m 80 m 90 m 100 m...
1 answer
A liquid mixture containing 40.0 wt% n n -octane and the balance n n -decane flows...
A liquid mixture containing 40.0 wt% n n -octane and the balance n n -decane flows into a tank mounted on a balance. The mass in kg indicated by the scale is plotted against time. The data fall on a straight line that passes through the points ( t = 3 min , m = 150 kg ) and ( t = 10 min , m = 250 kg...
1 answer
Psoriasis. Which of the following statement by the client should the nurse report to the provider?...
Psoriasis. Which of the following statement by the client should the nurse report to the provider? a. I try not to look at the scales on my body. b. I remove old medication on my skin before applying a new dose. c. I limit my time spent out in the sunlight....
1 answer
Question 19 (4 points) What is the major product of this reaction? CHLI H307, H20 HO...
Question 19 (4 points) What is the major product of this reaction? CHLI H307, H20 HO HO Question 20 (4 points) A decapeptide that is part of an insulin-like peptide has the molecular formula: Asn, Arg, Ser, Pro, Cys, Leu(2), Ala(2), Gly. After partial hydrolysis, the fragments are: Pro-Ala-Leu Ala-C...
1 answer
How are SOAP NOTES used!
how are SOAP NOTES used!...
1 answer
7.7. (a) To increase the electron (n-type) conductivity of ZnO, which would you add, Al2O3 or...
7.7. (a) To increase the electron (n-type) conductivity of ZnO, which would you add, Al2O3 or Li,O? Explain. Answer: Al2O3 (not a typo)...
1 answer
6-10. As seen in Fig. 6.4b, lead-20% indium is a Type II superconductor, when well annealed,...
6-10. As seen in Fig. 6.4b, lead-20% indium is a Type II superconductor, when well annealed, the M(H) and B(H) curves are nearly reversible. Sketch what you expect these curves to look like after the alloy is heavily cold-worked introduce a high density of dislocations. 0 STATE Pb-20% In Pb Buo Hel ...
1 answer
1a. A superbike is travelling at 303 km/h while you're watching a race. If the sound...
1a. A superbike is travelling at 303 km/h while you're watching a race. If the sound the bike makes is 60 Hz when stationary, what is the frequency you hear as the bike is moving towards you at the race? Assume the speed of sound in air is 340 m/s. b. If a 200 gram billiard ball is hit at 6 +0.1...
1 answer
If a sample of size n = 25 is chosen from a normal population, which one...
If a sample of size n = 25 is chosen from a normal population, which one of the following is a 95% confidence interval for the population mean when the sample mean is 50 and the sample standard deviation is 6.5? O A 50 2.06(1.3) B 50 2.06(6.5) C 50 2.064(65) D 50 t 2.064(1.3)...
1 answer
The star Sirius has an apparent magnitude ?V = −1.46 and a parallax ? = 0.37921”.(a)...
The star Sirius has an apparent magnitude ?V = −1.46 and a parallax ? = 0.37921”.(a) Calculate its distance and absolute magnitude. (b) What would Sirius’ parallax be if it were measured from an observatory on Neptune’s moon Triton as Neptune orbited theSun?...
1 answer
Adam Smith
Adam Smith denies that a nations wealth consists of the amount of gold and silver it controls. What arguments does he present to defend his position, and what aretheir implications for trade policy?...
1 answer
15.Mycoplasma cells don't have cell wall. What is the shape of these cells and how do...
15.Mycoplasma cells don't have cell wall. What is the shape of these cells and how do these reinforce their cell membrane? 16.What are some of the functions of the bacterial plasma membrane? 17.What is meant by active transport of a solute?...
1 answer
Express the function below using window and step functions and compute its Laplace transform. Ag(t) 10-...
Express the function below using window and step functions and compute its Laplace transform. Ag(t) 10- 0 6 10 8 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Express g(t) using window and step functions. Choose the correct answ...