Posted by **Mary** on Tuesday, January 20, 2009 at 10:35am.

Find the quotient

3[cos5pi/12+isin5pi/12] divided by 6[cospi/12+isinpi/12]. Express the quotient in rectangular form.

I worked it out as:

1/2[cospi/3+isinpi/3]

=1/2(1/2+1/2i)

=1/2+1/2i

Is this right?

- Pre-calculus -
**drwls**, Tuesday, January 20, 2009 at 11:42am
You started out OK but went astray somewhere.

Here's one way to do it.

Rewrite it as

(1/2)e^(i*5 pi/12)/e^(i*pi/12)

= (1/2)e^(i*pi/3)

= (1/2)[cos (pi/3)+ i sin(pi/3)]

You got that far..

= (1/2)[(1/2) + i(sqrt3)/2]

1/4 + i (1/4)* sqrt3

- Pre-calculus -
**Liz**, Tuesday, January 20, 2009 at 11:48am
Ok thanks i know where i went wrong

## Answer This Question

## Related Questions

- precal - find the quotient z/w z=8(cospi/3+isinpi/3) w=4(cospi/18+isinpi/18)
- precal - find zw z=8(cospi/2+isinpi/2) w=4(cospi/4+isinpi/4)
- Precal - How do i find the exact value for: (cos5pi/16)(cospi/16)+ (sin5pi/16)(...
- precalc - 1. Find (-1+i)^1/3 2. Express 2(cos5pi/3 + isin5pi/3) in regular form...
- Estimation decimal quotient - Use compatible numbers to find the each quotient...
- Pre-Calculus - Find this quotient. Express the result in rectangular form. 9(...
- Pre Calculus - Find each product or quotient. Express the result in rectangular ...
- Estimating decimal quotient - Use compatible to find the following quotient 180...
- Math - Find the quotient 3(cos (5pi/12) + i sin (5pi/12) / 6(cos (pi/12) i sin (...
- Pre-algebra - I have some practice problems, and I need to have them worked out...

More Related Questions