(a)
\The complex number is .
Write the complex number in trigonometric form.
\The absolute value of is
and the angle is
The trigonometric form of is
.
The trigonometric form of is
.
The absolute value of is
and the angle is
The trigonometric form of is
.
The trigonometric form of complex number is
.
(b)
\The trigonometric form of complex number is
.
Now perform the indicated operation by using the trigonometric form.
\Use the Quotient rule of two complex numbers:
\Let and
.
.
(c) The complex number is .
Convert the complex number into standard form.
Multiply and divide with the conjugate of .
Perform the indicated operation.
\.
(a) .
(b) .
(c) .