Sunday

April 20, 2014

April 20, 2014

Posted by **Suzy** on Friday, August 16, 2013 at 1:24pm.

(i) r = 4 – 3 sin θ is the equation for a limaçon rotated 90°.

(ii) r = 3 cos 8θ is the equation for a rose curve with 8 petals.

(iii) rθ = 16 is the equation for a circle.

A. (i) and (iii)

B. (i) only

C. (ii) only

D. (i) and (ii)

2) 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

18. 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.

- Trigonometry -
**Steve**, Friday, August 16, 2013 at 4:17pmyou should be able to figure these out with a visit to wolframalpha.com

Type in

plot r = 4 – 3 sin θ

to see that (i) is true

If you still have trouble, c'mon back...

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