Question

Help with intersection between polar curves

Answer 1

Find the point(s) of intersection between the following two polar curves on the interval [0, 360]: r = 4sinθ, r = 1

(round angle measures to the nearest hundredth).

Answer 2

4sinTheta=1
sinTheta=1/4
Theta= arcsin(1/4)
Theta = 14.48

Answer 3

(.5,14.48Degrees)

Answer 4

You can find the next points by doing 14.48+180=194.48

2sin(194.48)

(-.5,194.48 Degrees)

Answer 5

@amistre64

Answer 6

\[\sin \theta=\frac{ 1 }{ 4 }\]
so \[\theta\] can be in first and second quadrant only.
so second value is \[\ 180-\theta\]

Answer 7

so 180-14.48?

Answer 8

correct.