1. Knight’s Charge: Precalculus 41 Right Triangle Trigonometry 1

2. Check Homework: Precalculus 41 Right Triangle Trigonometry 2

3. Check Homework: Precalculus 41 Right Triangle Trigonometry 3 40x

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5. Sec 4.1: Right Triangle Trigonometry Objectives: Evaluate trigonometric functions of acute angles Use the fundamental trigonometric identities Use trigonometric functions to model and solve real-life problems

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7. Trigonometric Functions Precalculus 41 Right Triangle Trigonometry 7 opp adj hyp 

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9. Example 1 Evaluate the six trig functions of the angle  shown in the right triangle sin  = cos  = tan  = csc  = sec  = cot  = Precalculus 4.3 Right Triangle Trigonometry 9 5 12 13 

10. YOU TRY Evaluate the six trig functions of the angle  shown in the right triangle sin  = cos  = tan  = csc  = sec  = cot  = Precalculus 41 Right Triangle Trigonometry 10

11. Example 2 Precalculus 41 Right Triangle Trigonometry 11

12. You Try Precalculus 41 Right Triangle Trigonometry 12

13. Example 3 Precalculus 41 Right Triangle Trigonometry 13

14. Example 4 Find the value of x for the right triangle shown Precalculus 41 Right Triangle Trigonometry 14 x 15 30°

15. Example 5 Solve ∆ABC (i.e. find the measures of all the unknown angles and sides of the triangle). Precalculus 41 Right Triangle Trigonometry 15 A B C 62° 6 c b

16. You Try Solve ∆ABC. Precalculus 41 Right Triangle Trigonometry 16 A B C 30° a c

17. Example 6 Find the measure of angle B to the nearest tenth (ONE decimal place ).. Precalculus 41 Right Triangle Trigonometry 17 A B C 9 15

18. You Try Find the measure of angle A to the nearest hundredths (TWO decimal places ). Precalculus 4.3 Right Triangle Trigonometry 18 A B C 12 15

19. Example 7 Solve ∆ABC (i.e. find the measures of all the unknown angles and sides of the triangle). Precalculus 41 Right Triangle Trigonometry 19 A B C 9 c 5

20. You Try Solve ∆ABC. Precalculus 41 Right Triangle Trigonometry 20 A B C 12

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22. Precalculus 4.3 Right Triangle Trigonometry 22

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30. Precalculus 4.3 Right Triangle Trigonometry 30

31. Victory Lap Find the unknown value: Precalculus 4.3 Right Triangle Trigonometry 31