posted by .

Find the real and imaginary parts of the following complex numbers:
(i) 1.5e^jπ/4

(ii) je^1.2 + j^2 e

  • Math -

    e^jπ/4 = cos(π/4) + j sin(π/4) = 1/√2 + 1/√2 j

    Assuming j^2 = -1, you have

    -e + e^1.2 j

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    i^6 = (i^2)^3 = (-1)^3 = -1 The square, not the square root of -1 is 1. :) B.t.w., can you prove that -1 times -1 is 1?
  2. algebra2-imaginary numbers

    You can add or subtract complex numbers by treating the i as a variable and combining like terms. I am having a lot of trouble figuring out these equations with imaginary numbers. 1. (3+2i)+(7-i)= 2.(1-6i)+(2-i)= 3. (2+i)-(3+i)= 4.(4+i)-(2-i)= …
  3. Maths

    use the formula cos(x+iy)=cosxcosiy-sinxsiniy to find two imaginary numbers whose cosine is 3 cos(x+iy)=cosxcosiy-sinxsiniy = cos(x)cosh(y) - i sin(x)sinh(y) = 3 Equating imaginary parts gives: sin(x)sinh(y) = 0 You know that y cannot …
  4. algebra

    Find all positive values for k for which each of the following can be factored. x^2+3x+kthe coefficent of the middle term is 3 3=2+1 k=2*1=2 did i do this right This one I had no Idea where to start can some one please explain it to …
  5. Algebra

    State the possible number of imaginary zeros of g(x)= x^4+3x^3+7x^2-6x-13 this is how far Ive gotten:there are 4 zeros,3 positive and 1 negative If you've found four real zeroes, then there are no imaginary zeroes. You can also see …
  6. Math

    Factor the polynomial as the product of factors that are irreducible over the real numbers. Then write the polynomial in completely factored form involving complex nonreal or imaginary numbers. x^4 + 20x^2 -44=0
  7. Algebra 2

    When dealing with imaginary and complex numbers, are there 2 solutions?
  8. calculus

    a) Obtain all solutions of the equation z^3 +1 = 0 b) Let z = x + iy. Obtain the real and imaginary parts of the function f(z) = 1/1+z c) Let f(x + iy) = x^2 - y^2 + iv( x,y). Determine a function v such that f is differentiable in …
  9. Precalc

    To which set(s) of numbers does the number sqrt -16 belong?
  10. Algebra HELP

    What are the real and imaginary parts of the complex number: -6-i?

More Similar Questions