How to use this applet

There are two drop down boxes. One chooses the value of the angle, A.

The other chooses the valueof the power that the equation is been raised to.
When you have choosen a value in each drop down box press the " ok " button.
Where you once saw " The sum will appear here" there will be an equation.
This is the sum to be solved!!
Now press the Calculate Answer button and you're done.

Introduction

Trig identities within complex numbers are one of the applications of De Moivres Theorem.

To expand cosnA or sinnA as polynomials in cosA or sinA we have a number of steps.

Step1: write De Moivres Theorem
(CosA + iSinA)^n = CosnA + iSinnA

Step 2: Consult the Unit Circle

All angles in the first quadrant( i.e 0 - 90)are positive.
Sin angles are positive in the second quadrant(i.e 90 - 180). All other angles are negative here.
Tan angles are positive in the third quadrant(i.e 180 - 270). All other angles are negative here.
Cos angles are positive in the fourth quadrant(i.e 270- 360). All other angles are negative here.

This takes care of the sign of the answer each angle.

Step 3: Go to log tables or use calculator to find value of the angle or use this applet!