trigonometry help please :(
posted by suzy on .
2) Simplify √14/5√1
A.1/24+19/24i
B.21/26+1/26i
C.19/241/24i
D.1/2621/26i
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 xaxis.
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 yaxis.
5) Simplify (√23i)^2
A.56√2i
B.76√2i
C. 2 − 9i
D.2 + 9i
Change 8 cis 240° to rectangular form.
A.44√3i
B.4√34i
C.8√38i
D.88√3i

√14/5√1
(4+i)/(5i)
(4+i)(5+i)

(5i)(5+i)
(21+i)/26
so, (B)
***********************
#3  visit wolframalpha.com and see what the graphs look like if you have trouble algebraically.
***********************
r ==> r reflects through the origin
θ ==> πθ rotates 1/2 turn about the origin
Looks like (B) to me
***************************
(√23i)^2
26√2i+9i^2
....
*****************************
cis240° = cos60°i sin60°
...