COMPLEX NUMBERS Polar Form Operations (Page 3 of 4)

Next we will find the quotient of 5cis204° and 2cis34°. Because of the division, an extra set of parentheses are necessary around the second Euler notation because of the order of operations.

 2nd QUIT key. CLEAR key.

 5 2nd e to the x key. Left parenthesis key. 204 Multiply key. 2nd Pi key. Divide key. 180 Right parenthesis key. 2nd i key.
 Right parenthesis key. Divide key. Left parenthesis key. 2 2nd e to the x key. Left parenthesis key. 34 Multiply key. 2nd Pi key. Divide key.
 180 Right parenthesis key. 2nd i key. Right parenthesis key. Right parenthesis key. ENTER key.

 Calculator screen image.

Observe that the modulus of the quotient, 2.5, is the quotient of the two original moduli, and the argument of the quotient, 170°, is the difference of the original arguments 204° and 34°.
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