Subtracting complex in polar

Given w =√2(cosine (p/4) + i sine (pi/4) ) and
z = 2 (cosine (pi/2) + i sine (pi/2) ),

what is w - z expressed in polar form?

Correct answer:

m =  1.4142
A =  -0.7854 rad

Step-by-step explanation:

wx=2 cos(π/4)=2 cos(3.1416/4)=1 wy=2 sin(π/4)=2 sin(3.1416/4)=1  zx=2 cos(π/2)=2 cos(3.1416/2)1.22461016 zy=2 sin(π/2)=2 sin(3.1416/2)=2  x=wxzx=11.22461016=1 y=wyzy=12=1  m=x2+y2=12+(1)2=2=1.4142



Did you find an error or inaccuracy? Feel free to write us. Thank you!









Tips to related online calculators

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Linear combination of complex
    cplx_function If z1=5+3i and z2=4-2i, write the following in the form a+bi a) 4z1+6z2 b) z1*z2
  • Turtles 2
    turtles A box turtle hibernates in the sand at 11 5/8. A spotted turtle hibernates at 11 16/25 feet. Which turtle is deeper? Write answer as number 1 or 2.
  • Standard deviation
    standard-dev Find standard deviation for dataset (grouped data): Age (years) No. Of Persons 0-10 15 10-20 15 20-30 23 30-40 22 40-50 25 50-60 10 60-70 5 70-80 10
  • Statistical XY file
    trendline Year; money spent on advertising; profit (three values each row) 2008 2 12 2009 5 20 2010 7 25 2011 11 26 2012 15 40 1. draw a scatter diagram depicting the data. 2. calculate the Pearson's correlation coefficient. 3. determine the linear regression equat
  • Simplify 3
    fractal Simplify mixed numerals expression: 8 1/4- 3 2/5 - (2 1/3 - 1/4) Show your solution.
  • Complaints
    statistics The table is given: days complaints 0-4 2 5-9 4 10-14 8 15-19 6 20-24 4 25-29 3 30-34 3 1.1 What percentage of complaints were resolved within 2weeks? 1.2 calculate the mean number of days to resolve these complaints. 1.3 calculate the modal number of day
  • Normal distribution GPA
    normal_d The average GPA is 2.78 with a standard deviation of 4.5. What are students in the bottom the 20% having what GPA?
  • Mixed numbers
    zlomky Rewrite mixed numbers, so the fractions have the same denominator: 5 1/5 - 2 2/3
  • Eq2 2
    kardan3rd Solve following equation with quadratic members and rational function: (x2+1)/(x-4) + (x2-1)/(x+3) = 23
  • Box and whisker plot
    box-whisker-plot Construct a box and whisker plot for the given data. 56, 32, 54, 32, 23, 67, 23, 45, 12, 32, 34, 24, 36, 47, 19, 43
  • Two forces
    forces The two forces F1 = 580N and F2 = 630N, have an angle of 59 degrees. Calculate their resultant force, F.
  • Boats
    ship Three-quarters of boats are white, 1/7 are blue and 9 are red. How many boats do we have?
  • Emily
    clock-night-schr Emily had 20 minutes to do a three-problem quiz. She spent 11 3/4 minutes on question A and 5 1/2 minutes on question B. How much time did she have left for question C?
  • Std-deviation
    standard-dev Calculate standard deviation for file: 63,65,68,69,69,72,75,76,77,79,79,80,82,83,84,88,90
  • Sum of fractions
    fractions What is the sum of 2/3+3/5?
  • Moivre 2
    moivre_complex Find the cube roots of 125(cos 288° + i sin 288°).
  • Evaluate 5
    parabola2 Evaluate expression x2−7x+12x−4 when x=−1