# Working with De Moivre's theorem

Not what you're looking for?

If tan(A) = 1/2, find the value of tan(5A)

Hint: Use De Moivre's theorem.

##### Purchase this Solution

##### Solution Summary

Step by step solution giving even the minute details.

##### Solution Preview

Using De Moivre's theorem we can write,

Cos(5A)+i Sin(5A) = {Cos(A)+i Sin(A)}^5

Now expand the right hand side of this equation,

= Cos^5(A)-i 5Cos^4(A) Sin(A)-10Cos^3(A) Sin^2(A)-10 i Cos^2(A) ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Probability Quiz

Some questions on probability

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.