(5) Consider polar function r = 2 sin (30), 0≤0≤. This is a rose with three leaves. (a) Find the points where the curve is NOT smooth (if any). Indicate these points on the graph. (b) Find equations of the tan- gent lines at the origin. (e) Find equation of the tan- gent line at 0 =/6. Sketch this line on the graph. 180 150 120 2 60 30 360

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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(5) Consider polar function r = 2 sin(30), 0≤0 ≤. This is a rose with three leaves.
(a) Find the points where the
curve is NOT smooth (if
any). Indicate these points
on the graph.
(b) Find equations of the tan-
gent lines at the origin.
(e) Find equation of the tan-
gent line at 0= 7/6. Sketch
this line on the graph.
(d) Set up integral for, but
do NOT evaluate, the are
length of the curve.
(e) Find the shaded area.
180
150
210
120
240
0
270
60
300
30
330
360
Transcribed Image Text:(5) Consider polar function r = 2 sin(30), 0≤0 ≤. This is a rose with three leaves. (a) Find the points where the curve is NOT smooth (if any). Indicate these points on the graph. (b) Find equations of the tan- gent lines at the origin. (e) Find equation of the tan- gent line at 0= 7/6. Sketch this line on the graph. (d) Set up integral for, but do NOT evaluate, the are length of the curve. (e) Find the shaded area. 180 150 210 120 240 0 270 60 300 30 330 360
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