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Trigonometr y 1.1 Angles, Degrees, and Special Triangles

Trigonometry

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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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Page 1: Trigonometry

Trigonometry1.1

Angles, Degrees,

and Special Triangles

Page 2: Trigonometry

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.

Page 3: Trigonometry

Degre

e M

easu

re• Degree-

• Complementary-

• Supplementary-

Page 4: Trigonometry

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.

Page 5: Trigonometry

30-6

0-9

0

Tria

ngle

s • Memorize this relationship.

60°

30°90°

2x

x

x

Page 6: Trigonometry

45-4

5-9

0

Tria

ngle

s

xx

x45°

45°

Page 7: Trigonometry

Quiz

Quest

ions

Open the Socrative Student App, go to room #60306.

Question 3

m10

45°

45°

Question 4

60°

30°90°

8

y

Page 8: Trigonometry

Ass

ignm

ent

• Page 10: 1-65 odds