Express in product form:
`sin 5 alpha+ sin 3 alpha`

If the expression 4sin5 alpha cos3 alpha cos2 alpha is expressed as the sum of threes sines then two of them are sin 4 alpha and sin10 alpha. The third one is (a)sin8 alpha(b)sin6 alpha(d)sin5 alpha(d)sin12 alpha

If the expression 4sin5 alpha cos3 alpha cos2 alpha s expressed as the sum of three sines then two of them are sin 4 alpha and sin10 alpha* The third one is- a.sin 8 alpha b.sin6 alpha c.sin 5 alpha d.sin12 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

(( cos alpha - cos 3 alpha ) ( sin 8 alpha + sin 2 alpha ))/( ( sin 5 alpha - sin alpha ) ( cos 4 alpha - cos 6 alpha ))=

Sum the series: sin alpha - sin 2alpha + sin 3alpha - sin 4alpha + ... to n terms.

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 :

( 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 ) =

If sin alpha = 3/5, find value of (i) sin 3 alpha , (ii) cos 3 alpha (iii) tan 3 alpha.

Express the following in a + ib form: ((cos alpha + i sin alpha)^(4))/((sin beta + i cos beta)^(5))