Working with De Moivre's theorem

Related BrainMass Solutions

• Complex Numbers, Standard Form and De Moivre's Theorem

  Find the indicated power using De Moivre's Theorem. Please see the attached file for the complete solution. Complex numbers, standard form and de moivre's theorem are investigated and discussed. The solution is detailed and well presented.

• Complex Roots and Solutions, De Moivre's Theorem and Argand Diagrams

  Complex Roots and Solutions, De Moivre's Theorem and Argand Diagrams are investigated. The solution is detailed and well presented.

• Complex Variables : Complex Variables : De Moivre's Theorem and Rectangular Coordinates Theorem and Rectangular Coordinates

  32497 De Moivre's Theorem and Rectangular Coordinates 5. Use de Moivre's formula to derive the following trigonometric identities. (a) cos 3θ = cos3 θ - 3cos θּsin2 θ (b) sin 3θ = 3cos2 θּsin θ - sin3 θ 6.

• Applying DeMoivre's Theorem

  188012 Applying DeMoivre's Theorem Please see the attached file for the fully formatted problems. De Moivre's theorem states that (cos theta - i sin theta)^n = cos n theta + i sin n theta for n E R.

• Simple Multiple Angle Formula Solutions using DeMoivre's Theorem and Euler's Relation

  Find a simple method to work out any multiple angle formula, using De Moivre's Theorem and Euler's relation. De Moivre's Theorem states that (Exp ix)^n = Exp (inx) where i is the imaginary number ie i^2 = -1.

• Solving Complex Variable Equations : DeMoivre's Theorem

  Moivre's theorem is applied.

• Trigonometry

  According to de Moivre's formula, for any positive number n, so Expanding the LHS using the Binomial Theorem Taking and we arrive at Separating out the real and imaginary parts (collecting terms involving i and those that do not)

• Irreducible polynomial proof

  Since All the values of roots for the above equation are given by (from De Moivre's Theorem for rational index) with k=0, 1, 2, ...(n-1) For k=0, the root corresponds to x=1, which we have already ruled out.

• Mathematical Methods in the Physical Sciences

  So our general solution to is Using De Moivre's Theorem Defining the constants as C=A+B and D=i(A-B): Now all we have to do is find a particular solution to , a polynomial looks like a good idea.