Question

Determine the real and imaginary parts of the complex number z=5.2∠−62∘z=5.2∠-62∘.

Answer 1

we have a complex number given by,

which is in the polar form of the complex number

we know that,

Hence we can write,

we know that as cosine is even function cos(-x) = cos(x) and as sine is odd function sin(-x) = -sin(x)

Hence,

Hence we can write,

   --------------------------------------------------------1)

we know that complex number is given by z = x+iy where x is the ral part and y is the imaginary part

compare expression 1) with z = x + iy we have,

Hence we can say that,

Real part is given by x = 2.441252126 and imaginary part is given by y = -4.591327483