Co-efficient of `alpha^t` in thet expansion of `(alpha+p)^(m-1)+(alpha+p)^(m-2)(alpha+q)+(alpha+p)^(m-3)(alpha+q)^2+dot(alpha+q)^(m-1)` where `alpha != -q and p !=q` is :

Coefficient of alpha^(t) in the expansion of (alpha+p)^(m-1)+(alpha+p)^(m-2)(alpha+q)+(alpha+p)^(m-3)(alpha+q)^(2)+…….+(alpha+q)^(m-1) , where alpha ne -q and p ne q is

Co-efficient of alpha^(t) in thet expansion of (alpha+p)^(m-1)+(alpha+p)^(m-2)(alpha+q)+(alpha+p)^(m-3)(alpha+q)^(2)+alpha+q where alpha!=-q and p!=q is :

If alpha in Q_(4) and (sin alpha)/(2)+(cos alpha)/(2)=-(1)/(2) then sin2 alpha=

If alpha in Q_(4) and sin((alpha)/(2))+cos((alpha)/(2))=-(1)/(2) then sin2 alpha=

If alpha in Q_(4) and "sin" (alpha)/(2) + "cos" (alpha)/(2) = (-1)/(2) "then sin 2" alpha =

If tan alpha = (q)/(p) and alpha lt 90^(@) ," then " (q sin alpha - p cos alpha )/( q sin alpha + p cos alpha ) =

If tan beta= (Q sin alpha)/(P+Q cos alpha) , prove that : tan (alpha-beta)= (P sin alpha)/(Q+P cos alpha) .

If cos alpha + cos 2alpha = p , sin alpha + sin 2alpha = q then eliminate alpha .

If alpha is complex fifth root of unity and (1+alpha +alpha^(2)+ alpha^(3))^(2005) = p + qalpha + ralpha^(2) + salpha^(3) (where p,q,r,s are real), then find the value of p+ q+r+s .