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December 18, 2014

December 18, 2014

Posted by **suzy** on Friday, August 16, 2013 at 1:54pm.

A.-1/24+19/24i

B.-21/26+1/26i

C.-19/24-1/24i

D.-1/26-21/26i

3) How many petals do the two rose curves r = 9 cos 61θ and r = 8 sin 60θ have combined?

A. 182

B. 242

C. 181

D. 131

4)What is true of the curve r = ƒ(θ) if its shape is unaffected when r is replaced by –r and θ is replaced by p – θ?

A. It's symmetric with respect to the x-axis.

B. It's symmetric with respect to the origin.

C. It's symmetric with respect to the line y = x.

D. It's symmetric with respect to the y-axis.

5) Simplify (√2-3i)^2

A.-5-6√2i

B.-7-6√2i

C. 2 − 9i

D.2 + 9i

Change 8 cis 240° to rectangular form.

A.-4-4√3i

B.-4√3-4i

C.-8√3-8i

D.-8-8√3i

- trigonometry help please :( -
**Steve**, Friday, August 16, 2013 at 4:27pm√-1-4/5-√-1

(-4+i)/(5-i)

(-4+i)(5+i)

---------------

(5-i)(5+i)

(-21+i)/26

so, (B)

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#3 - visit wolframalpha.com and see what the graphs look like if you have trouble algebraically.

***********************

r ==> -r reflects through the origin

θ ==> π-θ rotates 1/2 turn about the origin

Looks like (B) to me

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(√2-3i)^2

2-6√2i+9i^2

....

*****************************

cis240° = -cos60°-i sin60°

...

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