1. 10.4: Inverses of Trigonometric Functions Algebra 2

2. Warm-Up Convert each measure from degrees to radians. 1. 120°2. 180° 3. 225°4. –30°

3. Warm-Up

4. Objectives Evaluate inverse trigonometric functions. Use trigonometric equations and inverse trigonometric functions to solve problems.

5. Inverses of Trigonometric Functions

6. The expression sin -1 is read as “the inverse sine.” In this notation, -1 indicates the inverse of the sine function, NOT the reciprocal of the sine function. Reading Math

7. Inverses of Trigonometric Functions

8. Finding Trigonometric Inverses

11. Inverses of Trigonometric Functions

18. Restricting the Domain of Trig Functions

20. The inverse trigonometric functions are also called the arcsine, arccosine, and arctangent functions. Reading Math

21. Finding Trigonometric Inverses 

23. 

24.  (0, 1)

25. Inverses of Trigonometric Functions

26. Example 3b: A group of hikers wants to walk from a lake to an unusual rock formation. The formation is 1 mile east and 0.75 mile north of the lake. To the nearest degree, in what direction should the hikers head from the lake to reach the rock formation? Lake Rock 0.75 mi 1 mi

27. Inverses of Trigonometric Functions Example 4a: Find the measure of the indicated angle to the nearest degree.

28. Inverses of Trigonometric Functions Example 4b: Find the measure of the indicated angle to the nearest degree.

29. Lesson Quiz

31. Inverses of Trigonometric Functions Homework: Section 10.4, p 717-718: 1-15 odd, 25, 30