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D A N I E L A T K I N S , K E R R Y M I N D I A K , G I N A S C H N E C K E R , K E L L Y T H O R N
Unit 5 – Intro to Trigonometry
Radians!
To Convert…
To convert degrees to radians, multiply degrees by
Practice:
1) 135° = ?
2) -270° = ?
Answers!
1)
2)
To Convert…
To convert radians to degrees, multiply radians by
Practice:
1)
2)
Answers!
1) -90°
2) 810°
Law of Sines
The Law!
Two angles and any side (AAS, ASA)
Two sides and an angle opposite them (SSA the ambiguous case)
Problems!
1)
102.3°a
28.7°
b= 27.4 ft
C
BcA
Problems!
2)
A
BC
38°
63°
15b
a
Problems!
3) C
A B
50 33
132°
Answers!
1) A= 49.0°, c= 55.75, a= 43.06
2) C= 79°, a= 9.41, b= 13.6
3) NO SOLUTION!
Law of Cosines
The Law!
Three sides (SSS)
Two sides and their included angle (SAS)
Problems!
1) B
CA
148
19
Problems
2)
C
a
BA10
15
115°
Answers!
1) A= 22.08°, B= 116.80°, C= 41.12°
2) a= 21.26, B= 39.75°, C= 25.25°
DUN…DUN…DUN!
The Unit Circle!
The Circle!
MEMORIZE THIS!!!
Problems!
1) Sin 60°= ?
2) Sin 30°= ?
3) Cos 45°= ?
4) Cos 135°= ?
5) Tan 45°= ?
6) Tan 210°= ?
Answers!
1) 5) 1
2) 6)
3)
4)