[" If "(a+ib)^(5)=alpha+i beta" then "(b+ai)^(5)" is equal to "],[" (1) "beta+i alpha],[" (2) "alpha-i beta],[" (3) "quad beta-i alpha],[" (4) "quad -alpha-i beta]

If (a+i b)^(5)=alpha+i beta then (b+i a)^(5)=

If (a+ib)^(5)+alpha+i beta then (b+ia)^(5) is equal to ( A) beta-i alpha(B)beta+i alpha(C)alpha-i beta(D)-alpha-i beta

" If "(1+i)^(100)=2^(49)(alpha+i beta)" then "sqrt(alpha^(2)+beta^(2))

[(cos alpha-cos beta)+i(sin alpha-sinbeta)]^n+[(cos alpha-cos beta)-i(sin alpha-sin beta)]^n=

(i) sin (alpha + beta) = sin alpha cos beta + cos alpha sin beta) (ii) sin (alpha-beta)= sin alpha cos beta- cos alpha sin beta Proof

Write the quadratic equations, if (i) alpha + beta = -6, alpha beta = 4 (ii) alpha + beta = 8 , alpha beta = -3

If alpha, beta are zeroes of polynomial 6x^(2) +x-1 , then find the value of (i) alpha^(3) beta + alpha beta^(3) , (ii) alpha/beta + beta/alpha +2(1/alpha + 1/beta) + 3 alpha beta

If alpha,beta in R are such that 1-2i (here i^(2)=-1 ) is a root of z^(2)+alpha z+beta=0 , then (alpha-beta) is equal to:

The real part of [[cos alpha+i sin alpha, cos beta+i sin beta],[ sin beta+i cos beta, sin alpha+i cos alpha]] is

Write the quadratic equations, if (i) alpha + beta = - 10 , alpha beta = 7 (ii) alpha + beta = 4, alpha beta = - 2