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Understanding Tangent Lines and Anti-Derivatives in Trigonometry

This worksheet explores the concepts of tangent lines at specific points, particularly at x = π/6, and the application of derivatives and anti-derivatives in solving identity problems. It includes a review of how to verify solutions by comparing derivatives and provides strategies for working with trigonometric identities. If your solutions do not match any options, reevaluating the derivatives and utilizing different forms can lead to the correct answer. This resource is suitable for students looking to enhance their understanding of calculus and trigonometry.

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Understanding Tangent Lines and Anti-Derivatives in Trigonometry

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  1. Identities Trig ReviewWorksheet Solutions

  2. #1)

  3. #2)

  4. #3)

  5. #4) Find tangent line at x = π/6

  6. #18) Doesn’t match any options, or does it…

  7. #35)

  8. #90) You could try taking the anti-derivative and rewriting it different ways, but it would be easier to take 3 derivatives and see if they match.

  9. #90) You could try taking the anti-derivative and rewriting it different ways, but it would be easier to take 3 derivatives and see if they match.

  10. #90) You could try taking the anti-derivative and rewriting it different ways, but it would be easier to take 3 derivatives and see if they match.

  11. #90) You could try taking the anti-derivative and rewriting it different ways, but it would be easier to take 3 derivatives and see if they match. I and III both worked so answer D

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