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Lesson 4.2

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Lesson 4.2

1. 1. Trig Ratios in Right Triangles
2. 2. Similar Triangles If two angles of a triangle are congruent to two angles of another triangle, the triangles are similar. If an acute angle of one right triangle is congruent to an acute angle of another right triangle, the triangles are similar, and the corresponding ratios are equal. Any two congruent angles of different right triangles will have equal ratios associated with them.
3. 3. B ca C A b
4. 4. B Leg The side Hypotenuseadjacent to angle B and opposite angle A C Leg A The side adjacent to angle A and opposite angle B
5. 5. Sine of angle A B sin A = leg opposite hypotenuse Leg The side Hypotenuseadjacent to angle B and opposite angle A C Leg A The side adjacent to angle A and opposite angle B
6. 6. Cosine of angle A B cos A = leg adjacent hypotenuse Leg The side Hypotenuseadjacent to angle B and opposite angle A C Leg A The side adjacent to angle A and opposite angle B
7. 7. Tangent of angle A B tan A = leg opposite leg adjacent Leg The side Hypotenuseadjacent to angle B and opposite angle A C Leg A The side adjacent to angle A and opposite angle B
8. 8. Sine of angle B B sin B = leg opposite hypotenuse Leg The side Hypotenuseadjacent to angle B and opposite angle A C Leg A The side adjacent to angle A and opposite angle B
9. 9. Cosine of angle B B cos B = leg adjacent hypotenuse Leg The side Hypotenuseadjacent to angle B and opposite angle A C Leg A The side adjacent to angle A and opposite angle B
10. 10. Tangent of angle B B tan B = leg opposite leg adjacent Leg The side Hypotenuseadjacent to angle B and opposite angle A C Leg A The side adjacent to angle A and opposite angle B
11. 11. SOHCAHTO A
12. 12. Trig Ratios in Right Triangles sine θ cosecant θ cosine θ secant θ tangent θ cotangent θ
13. 13. Trig Ratios in Right Triangles Words Symbols Definitioncosecant θ csc θ csc θ = 1 sinsecant θ sec θ sec θ = 1 coscotangent θ cot θ cot θ = 1 tan
14. 14. Find all six trigonometricfunctions of the angle θ. 8 θ