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Exploring Inverse Trigonometric Functions: Analysis and Modification

A comprehensive review of the properties of inverse trigonometric functions, including domains, ranges, and modifications of one-to-one sine functions. Learn how to apply the horizontal-line test and vertical-line test.

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Exploring Inverse Trigonometric Functions: Analysis and Modification

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  1. Section 8.1 The Inverse Sine, Cosine, and Tangent Functions

  2. Review: One-to-One Functions and Their Inverses. section 6.2, page 411. One-to-One Function passes: Both Horizontal-line Test and Vertical-line Test.

  3. Review Section 6.2:

  4. Review Section 6.2:

  5. Review Section 6.2:

  6. Review Section 6.2: Summary: Properties of Inverse Functions:

  7. Domain: Range: Modified One-to-One Sine Function Mod. Domain: Mod. Range:

  8. OBJECTIVE 1

  9. OBJECTIVE 2

  10. OBJECTIVE 3

  11. Domain: Range: Modified One-to-One Sine Function Mod. Domain: Mod. Range:

  12. Modified One-to-One Sine Function Mod. Domain: Mod. Range: Domain: Range:

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