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

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

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

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

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

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

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

sin theta/(1+cos theta)=

Prove the following: cos^4theta-sin^4theta+1=2cos^2theta

prove that sin theta + tan theta = (cos theta) / (1-sin theta)

Prove that sin^4 theta - cos^4 theta = 1 - 2cos^2 theta