Polar Coordinates in Trigonometry: Graphing Points, Conversions, and Equations - Prof. Jam, Assignments of Trigonometry

Section 8.5 of mac 1114 trigonometry, focusing on polar coordinates. Topics include graphing points (ex: (3, 60) and (5, 135)), converting between rectangular and polar coordinates (ex: (2, 60) and (2, -5)), and writing equations in both coordinate systems (ex: x + y = 9 and r = 1).

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Pre 2010

Uploaded on 08/18/2009

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MAC 1114 Trigonometry
Section 8.5: Polar Coordinates
1) Graph the points on a polar coordinate system.
a)
)60,3(
b)
)225,2(
c)
2
3
,2
d)
4
5
,4
2) Give three other ordered pairs with
360360
that name the point
)135,5(
.
3) Convert to rectangular coordinates. Use exact values.
a)
)60,2(
b)
),1(
4) Convert to polar coordinates with
and
3600
.
a)
)3,3(
b)
)32,2(
5) Convert to polar coordinates with
and
20
.
a)
)0,2(
b)
)1,3(
6) Write each equation with rectangular coordinates.
a)
sin6r
b)
2cos4
2
r
7) Write each equation in polar coordinates.
a)
9
22
yx
b)
xy
1

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MAC 1114 Trigonometry

Section 8.5: Polar Coordinates

1) Graph the points on a polar coordinate system.

a) (^3 ,^60 )

b) (^2 ,^225 )

c) 

d) 

2) Give three other ordered pairs with  360   360  that name the point (^5 ,^135 ^ ).

3) Convert to rectangular coordinates. Use exact values.

a) (^ ^2 ,^60 ) b) (^1 ,)

4) Convert to polar coordinates with r  0 and 0   360 .

a) (^3 ,^3 ) b) (^2 ,^23 )

5) Convert to polar coordinates with r  0 and 0   2 .

a) (^2 ,^0 ) b) (^ ^3 ,^1 )

6) Write each equation with rectangular coordinates.

a) r^ ^6 sin b) r^2  4 cos 2 

7) Write each equation in polar coordinates.

a) x^^2 ^ y^2 ^9 b) y^  x