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}`

Use De moivers theorem and simplify the following. (Cos ((7pi)/13) + i Sin ((7pi)/13))^4 / (Cos ((4pi)/13) - i Sin ((4pi)/13))^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 "" ( pi)/(10) - i sin "" ( pi)/(10)) ^( 15)

Use De Moveres Theorom and simplify . ( cos "" (pi)/(3) + i sin "" (pi )/(3)) ^(8)

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

Using tables evaluate the following (frac(cot (pi/4) cot (pi/3)+1)(cot (pi/4)-cot (pi/3)))

Prove the following: (frac(cos(pi+x)cos(pi-x))(sin(pi-x)cos(pi/2+x)))=cot^2x