109 Section 5.6 Inverse Trigonometric Functions: Differentiation Section 5.6 Inverse Trigonometric Functions: Differentiation Course Number Objective: In this lesson you learned about the properties of inverse Instructor trigonometric functions and how to find derivatives of inverse trigonometric functions. Date For each of the following definitions of inverse Inverse Trigonometric Functions trigonometric functions, supply the required None of the six basic trigonometric functions has an restricted domains and inverse function . This is true because all six ranges. trigonometric functions are periodic and therefore are not one-to-one . However, their domains can be What you should learn How to develop redefined in such a way that they will have inverse functions on properties of the six the restricted domains . inverse trigonometric functions An alternative notation for the inverse sine function is . x Example 1: Evaluate the function: arcsin . Example 2: Evaluate the function: arccos 1 . 2 Evaluate the function: arcos (0.85). Example 3: 0.5548
Section 5.6 Inverse Trigonometric Functions: Differentiation 109 Section 5.6 Inverse Trigonometric Functions: Differentiation Objective: In this lesson you learned about the properties of inverse trigonometric functions and how to find derivatives of inverse trigonometric functions. Course Number Instructor Date Inverse Trigonometric Functions None of the six basic trigonometric functions has an inverse function . This is true because all six trigonometric functions are periodic and therefore are not one-to-one . However, their domains can be redefined in such a way that they will have inverse functions on the restricted domains . For each of the following definitions of inverse trigonometric functions, supply the required restricted domains and ranges. What you should learn How to develop properties of the six inverse trigonometric functions An alternative notation for the inverse sine function is x . Example 1: Evaluate the function: Example 2: Evaluate the function: arcsin . arccos 1 . 2 Example 3: Evaluate the function: arcos (0.85). 0.5548
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