Find the sum `sin A + sin 3A + sin 5A +........+sin 11A` using De moivre's theorem.

sin A+ sin 3A+ sin 5A + sin 7A=

Application of De Moivre's theorem.

sin A+sin3A+sin5A+sin7A=

Find the sum of sin x+3sin3x+5sin5x+.........+(2k-1)sin(2k-1)x

Find the value of (1 + i)^(2 / 3) using De Moivre's Theorem.

Find the sum of sinx+3sin3x+5sin5x+...........+(2k-1)sin(2k-1)x.

Find the sum of sinx+3sin3x+5sin5x+...........+(2k-1)sin(2k-1)x.

Prove that: (cos 2A cos 3A-cos 2A cos 7A + cos A cos 10A)/(sin 4A sin 3A -sin 2A sin 5A + sin 4A sin 7A)= cot 6A cot 5A .

(sin A sin2A + sin3A sin6A) / (sin A cos2A + sin3A cos6A) = tan5A

Show that ( sin 5A + 2 sin 8A + sin 11A ) /( sin 8 A +2sin 11A + sin 14A ) = (sin 8A)/( sin 11A)