" (iy) "quad sin^(2)x

If z = x + iy and 0 le sin^(-1) ((z-4)/(2i)) le (pi)/(2) then

Prove that log ((sin(x+iy))/(sin(x-iy))) = 2i tan^-1 ( cot x tan hy).

If (a+ib)^(2)=x+iy , find x^(2)+y^(2)

If x + iy = (1)/((1 + cos theta + isin theta)) then sin^(-1) x =

If (a+ib)(x+iy)=(a^(2)+b^(2))i , then (x,y) is

If (a+ib)/(c+id)=x+iy, prove that (a-ib)/(c-id)=x-iy and (a^(2)+b^(2))/(c^(2)+d^(2))=x^(2)+y^(2)

If (a+ib)/(c+id)=x+iy, prove that(i) (a-ib)/(c-id)=(x-iy)( ii) (a^(2)+b^(2))/(c^(2)+d^(2))=(x^(2)+y^(2))

If ((1+i)/(1-i))^(2)=x+iy, find x+y

Multiplicative inverse of x+ iy is O (x-iy)/(x^(2)+y^(2)) O (x+iy)/(x^(2)+y^(2)) O (x-iy)/(x^(2)-y^(2)) O (x+iy)/(x^(2)-y^(2))