Directions 1 Fold the top right corner to

Directions 1. Fold the top right corner to meet the bottom. 2. Write your name & “Trig Book”. 3. Staple the hypotenuse. 4. Punch hole in the left side. Dr. Jennifer L. Bell, © 2009, La. Grange High School, La. Grange, Georgia (MCC 9‐ 12. G. SRT. 6; MCC 9‐ 12. G. SRT. 8)

Term: Trigonometry Definition: A ratio of the lengths of the sides of a right triangle are called the trigonometric ratios. 1

2 Term: sine sin Pronounced “sign” Definition: Example: sin θ = 4 5 opposite 4 opposite hypotenuse hy po te nu se θ 5

x Procedure: 13 15° Find missing side length x (13) 13 (13) sin 15° = x 3. 36 ≈ x (13) sin 15° = x 8 8 (x) sin 15° = x (x) sin 15° = 8 sin 15° 30. 91 ≈ x 15° 3

4 Term: cosine os Pronounced “co-sign” Definition: adjacent hypotenuse Example: cos θ = 3 5 hy po te nu se 5 θ adjacent 3

Term: tangent tan Definition: Example: tan θ = 4 3 opposite 4 opposite adjacent θ adjacent 3 5

Procedure: 6 Find missing angle measure 6 cos x° = 10 cos-1 (6/10) = x cos 53. 13° ≈ x x° 6 2 nd 10

7 Term: complementary angle ratios Definition: sin θ = cos (90 - θ) cos θ = sin (90 - θ) sin 20° = x = cos 70° 5 x Example: 70° 5 20°

Term: 8 angle of elevation Definition: 20 lin eo fs 15 angle made between the ground (horizontal) and the line of sight when looking up at the object angle of elevation = angle of depression igh t θ 20

Term: angle of depression Definition: 20 θ li ne of 15 angle made between the horizontal (parallel to the ground) and the line of sight when looking down at the object. 20 sig ht 9

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