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

Use De moivers theorem and simplify the following. (Cos 2theta + i Sin 2theta)^7 / (Cos 4theta + i Sin 4theta)^3

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}

Use De Moivers theorem and simplify the following: frac{(cos 2theta + i sin 2theta)^7}{(cos 4theta + i sin 4theta)^3}

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

Use De moivers theorem and simplify the following. (Cos ((7pi)/13) + i Sin ((7pi)/13))^4 / (Cos ((4pi)/13) - i Sin ((4pi)/13))^6

sin theta/(1+cos theta)=

Use De Moivers theorem and simplify the following: frac{(cos 7(pi)/13+ i sin 7(pi)/13)^4}{(cos 4(pi)/13 - i sin 4(pi)/13)^6}

(5) Simplify : sin theta ( cosec theta - sin theta ).

Simplify the following. ((Cos 3theta - iSin 3theta) ( Cos 2theta + i Sin 2theta)) /((Cos 4theta + i Sin 4theta)^6 (Cos theta + i Sin theta)^6)