Simplify the following. `(Cos 5alpha + i Sin 5alpha) / (Cos alpha + i Sin alpha)`

Simplify the following. (Cos alpha + i Sin alpha)^4/(Cos alpha- iSin alpha)^3

Use De moivers theorem and simplify the following. (Cos 5theta + i Sin 5theta) / (Cos 3theta - i Sin 3theta)^2

Simplify the following. (Cos theta - i Sin theta)^7 / (Cos 2theta - i Sin 2theta)^4

Use De Moivers theorem and simplify the following: frac{cos 5theta + i sin 5theta}{(cos 3theta - i sin 3theta)^2}

Eliminate alpha , if x = r cos alpha , y = r sin alpha .

(sqrt2 - sin alpha - cos alpha )/( sin alpha - cos alpha)=

Use De Moveres Theorom and simplify . (( cos 5 theta + i sin 5 theta ) ^(2))/( ( cos 4 theta -i sin 4 theta ) ^(3))