1. Section 6.4 Inverse Trigonometric Functions & Right Triangles
Chapter 6 – Trigonometric Functions: Right Triangle Approach
Section Inverse Trigonometric Functions & Right Triangles
6.4 - Inverse Trigonometric Functions and Right Triangles

2. 6.4 - Inverse Trigonometric Functions and Right Triangles
Remember…
The inverse sine function is the function sin-1 with domain [-1, 1] and range [- ⁄ 2,  ⁄ 2] defined by
6.4 - Inverse Trigonometric Functions and Right Triangles

3. 6.4 - Inverse Trigonometric Functions and Right Triangles
Remember…
The inverse cosine function is the function cos-1 with domain [-1, 1] and range [0, ] defined by
6.4 - Inverse Trigonometric Functions and Right Triangles

4. 6.4 - Inverse Trigonometric Functions and Right Triangles
Remember…
The inverse tangent function is the function tan-1 with domain (-∞, ∞) and range (- ⁄ 2,  ⁄ 2) defined by
6.4 - Inverse Trigonometric Functions and Right Triangles

5. 6.4 - Inverse Trigonometric Functions and Right Triangles
Remember…
6.4 - Inverse Trigonometric Functions and Right Triangles

6. 6.4 - Inverse Trigonometric Functions and Right Triangles
Examples – pg. 467
Find the exact value of each expression, if it is defined.
6.4 - Inverse Trigonometric Functions and Right Triangles

7. 6.4 - Inverse Trigonometric Functions and Right Triangles
Examples – pg. 467
Use a calculator to find an approximate value of each expression rounded to five decimal places, if it is defined.
6.4 - Inverse Trigonometric Functions and Right Triangles

8. 6.4 - Inverse Trigonometric Functions and Right Triangles
Examples – pg. 467
Find the angle  in degrees, rounded to one decimal.
6.4 - Inverse Trigonometric Functions and Right Triangles

9. 6.4 - Inverse Trigonometric Functions and Right Triangles
Examples – pg. 467
Find all the angles  between 0 and 180 satisfying the given equation.
6.4 - Inverse Trigonometric Functions and Right Triangles

10. Evaluating Compositions
5.5 - Inverse Trigonometric Functions & Their Graphs

11. 6.4 - Inverse Trigonometric Functions and Right Triangles
Examples – pg. 468
Find the exact value of the expression.
6.4 - Inverse Trigonometric Functions and Right Triangles

12. Evaluating Compositions
Evaluate the following:
6.4 - Inverse Trigonometric Functions and Right Triangles

13. 6.4 - Inverse Trigonometric Functions and Right Triangles
Examples – pg. 468
Rewrite the expression as an algebraic expression in x.
6.4 - Inverse Trigonometric Functions and Right Triangles

14. Calculus Problems Made Easy
Write the following as an algebraic expression in x.
6.4 - Inverse Trigonometric Functions and Right Triangles

15. 6.4 - Inverse Trigonometric Functions and Right Triangles
Example – pg. 468
6.4 - Inverse Trigonometric Functions and Right Triangles