Moivre 2

Find the cube roots of 125(cos 288° + i sin 288°).


Result

r =  5
α1 =  96 °
α2 =  216 °
α3 =  336 °

Solution:

Solution in text r =
Solution in text α__1 =
Solution in text α__2 =
Solution in text α__3 =







Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




To solve this example are needed these knowledge from mathematics:

Try our complex numbers calculator. Pythagorean theorem is the base for the right triangle calculator.

Next similar examples:

  1. De Moivre's formula
    sqrt3_complex There are two distinct complex numbers z such that z3 is equal to 1 and z is not equal 1. Calculate the sum of these two numbers.
  2. Imaginary numbers
    Complex_conjugate_picture.svg Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is its sum?
  3. Add vector
    vectors_2 Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
  4. Reference angle
    anglemeter Find the reference angle of each angle:
  5. Linear imaginary equation
    cplx_function Given that ? "this is z star" Find the value of the complex number z.
  6. Null points
    absolute value Calculate the roots of the equation: ?
  7. Goniometric form
    complex_fnc Determine goniometric form of a complex number ?.
  8. Unit vector 2D
    one_1 Determine coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].
  9. Log
    exp_log Calculate value of expression log |3 +7i +5i2| .
  10. Reciprocal
    complex_numbers Calculate reciprocal of z=0.8+0.6i:
  11. Im>0?
    ReIm Is -10i a positive number?
  12. ABS CN
    complex_num Calculate the absolute value of complex number -15-29i.
  13. Tetrahedron
    tetrahedron (1) Calculate height and volume of a regular tetrahedron whose edge has a length 18 cm.
  14. Euclidean distance
    euclidean Calculate the Euclidean distance between shops A, B and C, where: A 45 0.05 B 60 0.05 C 52 0.09 Wherein the first figure is the weight in grams of bread and second figure is price in USD.
  15. Theorem prove
    thales_1 We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  16. Complex number coordinates
    complex_numbers Which coordinates show the location of -2+3i
  17. Is complex
    cplx Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?