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Section 6.4 Inverse Trigonometric Functions & Right Triangles

Chapter 6 – Trigonometric Functions: Right Triangle Approach. Section 6.4 Inverse Trigonometric Functions & Right Triangles. Remember…. The inverse sine function is the function sin -1 with domain [-1, 1] and range [-  ⁄ 2,  ⁄ 2] defined by. Remember….

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Section 6.4 Inverse Trigonometric Functions & Right Triangles

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

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

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

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

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

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