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

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

If a and b are real numbers and (a+ib)^(11)=1 +3i , then (b+ia)^(11) is equal to

If (a+ib)^(5)=" p "+" iq ," where " "i=sqrt(-1), prove that (b+ia)^(5)=q+ip.

Find the value of sin (alpha + beta) , cos (alpha + beta) , and tan (alpha + beta), given sin alpha = (3)/(5) , cos beta = (5)/(13), alpha and beta in Quadrant I.

If alpha^(2)=5 alpha-3 beta^(2)=5 beta-3 then the value of (alpha)/(beta)+(beta)/(alpha) is

If alpha ne beta" but "alpha^(2)=5 alpha-3" and "beta^(2)= 5 beta-3 then the equation whose roots are (alpha)/(beta)" and "(beta)/(alpha) is

If tan alpha = 7/5, tan beta=5/7 " then find the values of " tan (alpha + beta) " and " cot (alpha - beta)