If `alpha = pi / 21` then `(sin3alpha-sin7alpha)/(sin24alpha+sin14alpha)=`

If alpha=(pi)/21 then (sin 3 alpha+sin 7 alpha)/(sin 24 alpha+sin 14 alpha)=

sin3 alpha=4sin alpha sin(x+alpha)sin(x-alpha)

sin3alpha = 4 sin alpha sin(x+alpha)sin(x-alpha)

Prove the following identities: (sin alpha sin 11 alpha + sin 3 alpha sin 7 alpha)/(sin alpha cos 11 alpha + sin 3 alpha cos 7 alpha)= tan 8 alpha

If alpha=(pi)/(17), then the value of (sin21 alpha-sin alpha)/(sin16 alpha+sin4 alpha) is equal to

sin 3 alpha = 4 sin alpha sin(x + alpha) sin(x-alpha)

( sin alpha sin 3alpha + sin 3alpha sin 7 alpha + sin 5 alpha sin 15 alpha )/( sin alpha cos 3 alpha + sin 3alpha cos 7 alpha + sin 5 alpha cos 15 alpha ) =

The value of the expression (sin7alpha+6sin 5 alpha+17sin3alpha+12sin alpha)/(sin6alpha+5sin 4alpha+12 sin 2 alpha) , where alpha=(pi)/(5) is equal to :

The value of the expression (sin7alpha+6sin 5 alpha+17sin3alpha+12sin alpha)/(sin6alpha+5sin 4alpha+12 sin 2 alpha) , where alpha=(pi)/(5) is equal to :