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Trigonometry. 1.1 Angles, Degrees, and Special Triangles. An angle is formed by two rays with a common vertex. Every angle has an initial and terminal side. Counterclockwise rotation from initial to terminal side results in a positive angle - PowerPoint PPT Presentation
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Trigonometry1.1
Angles, Degrees,
and Special Triangles
Angle
s in
G
enera
l
• An angle is formed by two rays with a common vertex.
• Every angle has an initial and terminal side.
• Counterclockwise rotation from initial to terminal side results in a positive angle
• Such a rotation that is clockwise results in a negative angle.
Degre
e M
easu
re• Degree-
• Complementary-
• Supplementary-
Pyt
hagore
an
Theore
m• For any right triangle, the
sum of the squares of the legs equals the square of the hypotenuse.
• Proof: See page 5 of text.
30-6
0-9
0
Tria
ngle
s • Memorize this relationship.
60°
30°90°
2x
x
x
45-4
5-9
0
Tria
ngle
s
xx
x45°
45°
Quiz
Quest
ions
Open the Socrative Student App, go to room #60306.
Question 3
m10
45°
45°
Question 4
60°
30°90°
8
y
Ass
ignm
ent
• Page 10: 1-65 odds