1 if z1 and z2are two complex no s then show that - ___ __ __ (Z1/Z2) = Z1 - Maths - Complex Numbers and Quadratic Equations

Question

1 if z1 and z2are two complex no s then
show that -
___ __ __
(Z1/Z2) = Z1 /
Z2
2 if IzI =1, z not = to -1 ,prove that z-1/z+1 is purely
imaginary number what will you conclude if z=1
3 if (cos x- isin x )2=x-iy then prove that
x2 +y2=1

Himanshu · Accepted Answer

1. if z1 and z2are two complex no.s then show that - ___ __ __ (Z1/Z2) = Z1 / Z2 2.if IzI =1, z not = to -1 ,prove that z-1/z+1 is purely imaginary number .what will you conclude if z=1. 3.if (cos x- isin x )2=x-iy then prove that x2 +y2=1.

1. if z₁and z₂are two complex no.s then show that -

_ __

(Z₁/Z₂) = Z₁ / Z₂

2.if IzI =1, z not = to -1 ,prove that z-1/z+1 is purely imaginary number .what will you conclude if z=1.

3.if (cos x- isin x )²=x-iy then prove that x²+y²=1.