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8-18-14
T1.1d To Find Coterminal Angles
in Degrees and Radians
What do you call a midget psychic on the run from the police?
A small medium at large!!
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Convert to degrees:
8
5
13
3
288
780
Convert to π radians (keep in rational form):
180
13
3
GCF? 60°
1
180
8*180 / 5
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Active Learning Assignment Questions?
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LESSON:
Angles are COTERMINAL if they share the same initial and terminal sides, but with a different number of rotations (forwards or backwards).
(A rotation is 360° for degrees and 2π for radians.)
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Looking down at a merry go round, my nephew is 33° away from the ticket booth.
Ticket booth
Nephew
When it goes around the first time, how many degrees will he have gone from the ticket booth?
I
IVIII
II
33°
33°
+360°
393°
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Find two coterminal angles, one positive and one negative, to the given angle.
178
Pos:
Neg:
I
IVIII
II
178°
+360°
538°
178°
-360°
-182°
0°
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Find two coterminal angles, one positive and one negative, to the given angle.
1024.48
Pos:
Neg:
I
IVIII
II
1384.48° or 664.48° or 304.48°
-55.52°
0°
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Find two coterminal angles, one positive and one negative, to the given angle.
Pos:
Neg:
582 I
IVIII
II
-582°
– 360°
-942°
or
-582°
+360°
-222°
-582° +360° +360°
138°
0°
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Find two coterminal angles, one positive and one negative, to the given angle. If you are given a problem in π radians,
the answer should be in π radians. Remember this for the test!
2
3
Pos:
Neg:
I
IVIII
II
0
2 2
3 1
3
3
2 6
3 3
8
3
2 6
3 3
4
3
2
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Find two coterminal angles, one positive and one negative, to the given angle.
2
7
Pos:
Neg:
I
IVIII
II
2 14
7 7
12
7
2 14
7 7
16
7
0
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Active Learning Assignment:
P. 262: 17 (a-b), 18 (a-b), 19a, 21a
TEST ON THIS CHAPTER ON THURSDAY, 8/21
PICK UP A SHEET AT THE FRONT (THE REVIEW.)
PLEASE GO AHEAD AND WRITE YOUR ASSIGNMENT DOWN.