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A bit more practice in Section 4.7b. Analysis of the Inverse Sine Function 1–1 D:R: Continuous Increasing Symmetry: Origin (odd func.) Bounded Abs. Max.

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Presentation on theme: "A bit more practice in Section 4.7b. Analysis of the Inverse Sine Function 1–1 D:R: Continuous Increasing Symmetry: Origin (odd func.) Bounded Abs. Max."— Presentation transcript:

1 A bit more practice in Section 4.7b

2 Analysis of the Inverse Sine Function 1–1 D:R: Continuous Increasing Symmetry: Origin (odd func.) Bounded Abs. Max. of at x = 1 Abs. Min. of at x = –1 No Asymptotes No End Behavior (bounded domain)

3 Analysis of the Inverse Cosine Function D:R: Continuous Decreasing Symmetry: About the point Bounded Abs. Max. of at x = –1 Abs. Min. of at x = 1 No Asymptotes No End Behavior (bounded domain) 1–1

4 Analysis of the Inverse Tangent Function D:R: Continuous Increasing Symmetry: Origin (odd func.) Bounded No Local Extrema Horizontal Asymptotes: End Behavior:

5 Guided Practice Use a calculator to find the approximate value. Express your answer in both degrees and radians. (a) (b) (c)

6 A note about composing trigonometric and inverse trigonometric functions… The following equations are always true whenever they are defined: On the other hand, the following equations are only true for x values in the “restricted” domains of sin, cos, and tan:

7 Whiteboard Practice… Find the exact value without a calculator. (a) Evaluate this inverse portion first… (b) (c)

8 Whiteboard Practice… Find the exact value without a calculator. (d) (e)


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