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Unit Circle and the Trig Functions (2525965)
Current Score:
Question
0/88
Due:
Wed Jun 20 2012 11:00 AM CDT
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0/88
Points
1.
Total
0/6 points
SwokPreCalc12 5.3.004. [1780264]
-
A point P(x, y) is shown on the unit circle U corresponding to a real number t.
Find the values of the trigonometric functions at t.
2.
sin t =
-12/13
cos t =
-5/13
tan t =
12/5
csc t =
-13/12
sec t =
-13/5
cot t =
5/12
0/6 points
SwokPreCalc12 5.3.001. [1781462]
-
A point P(x, y) is shown on the unit circle U corresponding to a real number t. Find
the values of the trigonometric functions at t. Assume a = − 3 , b = 4 .
5
5
http://www.webassign.net/v4cgisfzheng@missouristate/assignments/preview.tpl?j=201206... 6/18/2012
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3.
Page 2 of 8
sin t =
4/5
cos t =
-3/5
tan t =
-4/3
csc t =
5/4
sec t =
-5/3
cot t =
-3/4
0/14 points
SwokPreCalc12 5.3.009. [1780212]
-
Let P be the point on the unit circle U that corresponds to t. Find the coordinates
of P and the exact values of the trigonometric functions of t, whenever possible.
(If an answer is undefined, enter UNDEFINED.)
(a)
t = 4π
P(x, y) =
sin(4π) =
cos(4π) =
tan(4π) =
csc(4π) =
sec(4π) =
cot(4π) =
http://www.webassign.net/v4cgisfzheng@missouristate/assignments/preview.tpl?j=201206... 6/18/2012
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Page 3 of 8
(b)
t = −3π
P(x, y) =
sin(−3π) =
cos(−3π) =
tan(−3π) =
csc(−3π) =
sec(−3π) =
cot(−3π) =
4.
0/14 points
SwokPreCalc12 5.3.012. [1780533]
-
Let P be the point on the unit circle U that corresponds to t. Find the coordinates
of P and the exact values of the trigonometric functions of t, whenever possible.
(If an answer is undefined, enter UNDEFINED.)
(a)
t = 5π/2
P(x, y)
=
sin(5π/2) =
cos(5π/2) =
tan(5π/2) =
csc(5π/2) =
sec(5π/2) =
cot(5π/2) =
http://www.webassign.net/v4cgisfzheng@missouristate/assignments/preview.tpl?j=201206... 6/18/2012
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(b)
Page 4 of 8
t = −π/2
P(x, y)
=
sin(−π/2) =
cos(−π/2) =
tan(−π/2) =
csc(−π/2) =
sec(−π/2) =
cot(−π/2) =
5.
0/6 points
SwokPreCalc12 5.2.082. [1780979]
-
Find the exact values of the six trigonometric functions of θ if θ is in standard
position and the terminal side of θ is in the given quadrant and satisfies the given
condition.
I;
bisects the quadrant
sin θ =
cos θ =
tan θ =
csc θ =
sec θ =
cot θ =
6.
0/14 points
SwokPreCalc12 5.3.013. [1780348]
http://www.webassign.net/v4cgisfzheng@missouristate/assignments/preview.tpl?j=201206... 6/18/2012
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Page 5 of 8
-
Let P be the point on the unit circle U that corresponds to t. Find the coordinates
of P and the exact values of the trigonometric functions of t, whenever possible.
(If there is no solution, enter NO SOLUTION.)
(a)
t = 9π
4
P(x, y) =
sin
9π
4
=
cos
9π
4
=
tan
9π
4
=
csc
9π
4
=
sec 9π
4
=
9π
4
=
cot
(b)
t=−
21π
4
P(x, y) =
sin − 21π
4
=
21π
4
=
tan − 21π
4
=
csc −
21π
4
=
sec −
21π
4
=
cot − 21π
4
=
cos −
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7.
Page 6 of 8
0/14 points
SwokPreCalc12 5.3.016. [1780319]
-
Let P be the point on the unit circle U that corresponds to t. Find the coordinates
of P and the exact values of the trigonometric functions of t, whenever possible.
(If an answer is undefined, enter UNDEFINED.)
(a)
t = 7π/4
P(x, y)
=
sin(7π/4) =
cos(7π/4) =
tan(7π/4) =
csc(7π/4) =
sec(7π/4) =
cot(7π/4) =
(b)
t = −3π/4
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P(x, y)
=
sin(−3π/4) =
cos(−3π/4) =
tan(−3π/4) =
csc(−3π/4) =
sec(−3π/4) =
cot(−3π/4) =
8.
0/14 points
SwokPreCalc12 5.3.015. [1781520]
-
Let P be the point on the unit circle U that corresponds to t. Find the coordinates
of P and the exact values of the trigonometric functions of t, whenever possible.
(If an answer is undefined, enter UNDEFINED.)
(a)
t = 5π/4
P(x, y)
=
sin(5π/4) =
cos(5π/4) =
tan(5π/4) =
csc(5π/4) =
sec(5π/4) =
cot(5π/4) =
http://www.webassign.net/v4cgisfzheng@missouristate/assignments/preview.tpl?j=201206... 6/18/2012
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(b)
Page 8 of 8
t = −π/4
P(x, y)
=
sin(−π/4) =
cos(−π/4) =
tan(−π/4) =
csc(−π/4) =
sec(−π/4) =
cot(−π/4) =
Assignment Details
http://www.webassign.net/v4cgisfzheng@missouristate/assignments/preview.tpl?j=201206... 6/18/2012