Use Trig with Right Triangles

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1 Use Trig with Right Triangles
(Section 13-1 Alg 2)

2 θ Trig ratios are used in right triangles. Two angles other than right angles are called reference angles.

3 θ Opposite Leg Hypotenuse Adjacent Leg
Hypotenuse across from Right angle Opposite Leg across from Reference Angle Adjacent Leg next to Reference Angle

4 θ Opp sin θ = Hyp

5 θ Adj cos θ = Hyp

6 θ Opp tan θ = Adj

7 θ Hyp csc θ = cosecant=reciprocal of sin Opp

8 θ Hyp sec θ = secant=reciprocal of cos Adj

9 θ Adj cot θ = cotangent=reciprocal of tan Opp

10 Write each ratio. Example 1: 3 sin θ = 5 4 cos θ = 5 3 θ tan θ = 4

11 Write each ratio. Example 1: 5 csc θ = 3 5 sec θ = 4 4 θ cot θ = 3

12 Write each ratio. Example 2: 12 sin θ = 13 θ 5 cos θ = 13 12 tan θ = 5

13 Write each ratio. Example 2: 13 csc θ = 12 θ 13 sec θ = 5 5 cot θ = 12

14 Write each ratio. Example 3: 6 sin θ = 10 θ 8 cos θ = 10 6 tan θ = 8

15 Write each ratio. Example 3: 10 csc θ = 6 θ 10 sec θ = 8 8 cot θ = 6

16 Write each ratio. Example 4: 12 sin θ = 15 θ 9 cos θ = 15 12 tan θ = 9

17 Write each ratio. Example 4: 15 csc θ = 12 θ 15 sec θ = 9 9 cot θ = 12

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26 SOH CAH TOA ‘s CHO SHA CAO

27 HW #1 Practice 13-1 (1-6)

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43 HW # 2 Practice 13-1 (7-14)