Monday

December 22, 2014

December 22, 2014

Posted by **tony** on Friday, June 28, 2013 at 12:08pm.

[2(cos 240° + i sin 240°)]^5

- trig -
**Count Iblis**, Friday, June 28, 2013 at 12:33pmz = 2(cos 240° + i sin 240°) =

2 exp(4/3 pi i)

z^5 = 2^5 exp(20/3 pi i) =

32 exp(2/3 pi i) =

-16 + 16 sqrt(3) i

- trig -
**Steve**, Friday, June 28, 2013 at 12:34pm(2cis240°)^5 = 2^5 cis(5*240°)

= 32 cis1200°

= 32 cis120°

= -16 + 16√3 i

**Answer this Question**

**Related Questions**

trigonometry - Use De Moivre’s Theorem to simplify each expression. Write the ...

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

precal - De Moivre’s theorem states, “If z = r(cos u + i sin u), then zn = rn(...

Pre-Calculus - Can someone please help me with this problem? De Moivre’s theorem...

trig 26 - simplify to a constant or trig func. 1. sec ˛u-tan ˛u/cos ˛v+sin ˛v ...

trigonometry (please double check this) - Solve the following trig equations. ...

algebra - Can someone please help me do this problem? That would be great! ...

Exponent Rules - SAC = STC/y = (w1(y/240)^2 + 48w2) / y = (w1)(y/240)^2(y) + ((...

TRIG! - Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6...

Algebra - Which equation could be used to find the dimensions of a room that has...