Friday

January 30, 2015

January 30, 2015

Posted by **Joshua** on Monday, December 5, 2011 at 1:34pm.

A. The Trig Form of the complex number z1, where your theta is in degrees.

B. The Trig form of z1*z2, where

z2=5[cos(60degrees)+isin(60degrees)]

C. The Trig Form of (z1)^4

- precalc -
**Steve**, Monday, December 5, 2011 at 3:01pmlooks like z1 is in QIV, since x>0 and y<0

so, θ = 360 - arctan(8/6) = 360 - 53.1 = 306.9°

z1 = 10 cis 306.9°

z2 = 5 cis 60°

z1*z2 = 10*5 cis (-53.1+60) = 50 cis 6.9°

z1^4 = 10^4 cis 4*(-53.1)

= 10000 cis -212.4°

= 10000 cis 147.6°

x = 10000 cos 147.6° = -8443

y = 10000 sin 147.6° = 5358

z1^4 = -8443 + 5359i

**Answer this Question**

**Related Questions**

Calculus - Determine the polar form of the complex number 3 - 2i. Express the ...

Complex angles - There are four complex fourth roots to the number 4−43&#...

Trigonometry - There are four complex fourth roots to the number 4−4√...

Precalc - Represent the complex number graphically and find the standard form of...

trig 26 - simplify to a constant or trig func. 1. sec Ču-tan Ču/cos Čv+sin Čv ...

Trig (math) - 1.) Write the complex number in trigonometric form r(cos theta + i...

precalc h - sin(theta)/1-cos(theta) + 1-cos(theta)/sin(theta) = 2csc(theta) That...

trigonometry - tan 30degrees = sin 60degrees /1+cos 60degrees I pluged in the ...

Maths: Partial Differentiation - 1) If x = rcos theta and y = r sin theta, show ...

math - put these polar equations into cartesians form: 1) theta=135 degrees 2)...