# De Moivres Theorem Calculator

Solve De Moivres Theorem
De Moivre’s Theorem Formula:(cosx + isinx)n = cosnx + isinnx
Enter the Value of x =
$$\begin{array}{l}\frac{x(1)}{x(2)}\end{array}$$
Enter the Value of n

Enter the Value of x (1)

Enter the Value of x (2)

Equation is =

Equation at x is =

De Moivre’s Theorem Calculator is a free online tool that displays the equation for the given values. BYJU’S online De Moivre’s theorem calculator tool makes the calculation faster, and it displays the equation in a fraction of seconds.

## How to Use De Moivre’s Theorem Calculator?

The procedure to use De Moivre’s theorem calculator is as follows:

Step 1: Enter x and n values in the input fields

Step 2: Now click the button “Calculate” to get the output

Step 3: Finally, the equations will be displayed in the output field

### De Moivre’s Theorem

In Mathematics, De Moivre’s theorem is a theorem which gives the formula to compute the powers of complex numbers. To prove this theorem, the principle of mathematical induction is used. De Moivre’s theorem is given as follows:

If z = r(cos α + i sin α), and n is a natural number, then

Z2 = r2 (cos nα + isinnα)