Parametrically Defined Circles and Lines
AP Precalculus · Flashcards
AP PRECALCULUS · FLASHCARDS
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QUESTION
Find the Cartesian equation of
x
=
5
cos
(
t
)
,
y
=
5
sin
(
t
)
x = 5 \, \cos(t), \, y = 5 \, \sin(t)
x
=
5
cos
(
t
)
,
y
=
5
sin
(
t
)
.
QUESTION
Convert
x
=
2
t
,
y
=
3
+
t
x = 2t, \, y = 3 + t
x
=
2
t
,
y
=
3
+
t
to its Cartesian form.
QUESTION
Identify the
t
t
t
value for the point
(
−
r
,
0
)
(-r, 0)
(
−
r
,
0
)
on
x
=
r
cos
(
t
)
,
y
=
r
sin
(
t
)
x = r \, \cos(t), \, y = r \, \sin(t)
x
=
r
cos
(
t
)
,
y
=
r
sin
(
t
)
.
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ANSWER
t
=
π
t = \pi
t
=
π
. At
t
=
π
t = \pi
t
=
π
,
cos
(
π
)
=
−
1
\cos(\pi) = -1
cos
(
π
)
=
−
1
and
sin
(
π
)
=
0
\sin(\pi) = 0
sin
(
π
)
=
0
.
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