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Classroom Resource Information

Title:

Blurred Lines

URL:

https://www.ck12.org/c/calculus/trigonometric-substitution/rwa/Blurred-Lines/?referrer=concept_details

Content Source:

Other
CK-12

Type:

Informational Material

Overview:

Is it possible to make a bad picture into a good picture with photo editing? When scientists enhance pictures from telescopes, are they really doing science, or are they just indulging their imaginations? Just how far can you zoom in to get information? When you're manipulating images, you have to be able to separate usable information from background noise.

This article will explain how photo editing software uses trigonometric identities and substitution to adjust the value of pixels in an image. There is a corresponding video and links to additional information.

Content Standard(s):

Mathematics MA2019 (2019) Grade: 9-12 Precalculus	37. Use trigonometric identities to solve problems. a. Use the Pythagorean identity sin² (θ) + cos²(θ) = 1 to derive the other forms of the identity. Example: 1 + cot² (θ) = csc² (θ) b. Use the angle sum formulas for sine, cosine, and tangent to derive the double angle formulas. c. Use the Pythagorean and double angle identities to prove other simple identities. Unpacked Content
English Language Arts ELA2021 (2021) Grade: 11	8. Read, analyze, and evaluate texts from science, social studies, and other academic disciplines and explain how those disciplines treat domain-specific vocabulary and content and organize information. Unpacked Content Teacher Vocabulary: 8. Academic disciplines Domain-specific vocabulary Content organization Knowledge: 8. Students know: Strategies to read, analyze, and evaluate texts from various academic disciplines. Content-specific text will often include a particular structure and domain-specific vocabulary. Skills: 8. Students are able to: Read, analyze, and evaluate texts from subjects other than English language arts to determine the use of domain-specific vocabulary. Read, analyze, and evaluate texts from subjects other than English language arts to determine how the academic discipline organizes content. Understanding: 8. Students understand that: Different academic disciplines may utilize different vocabulary. Different academic disciplines may arrange content in particular organizational styles.
English Language Arts ELA2021 (2021) Grade: 12	8. Read, analyze, and evaluate texts from science, social studies, and other academic disciplines and explain how those disciplines treat domain-specific vocabulary and content and organize information. Unpacked Content Teacher Vocabulary: 8. Academic disciplines Domain-specific vocabulary Content organization Knowledge: 8. Students know: Strategies to read, analyze, and evaluate texts from various academic disciplines. Content-specific text will often include a particular structure and domain-specific vocabulary. Skills: 8. Students are able to: Read, analyze, and evaluate texts from subjects other than English language arts to determine the use of domain-specific vocabulary. Read, analyze, and evaluate texts from subjects other than English language arts to determine how the academic discipline organizes content. Understanding: 8. Students understand that: Different academic disciplines may utilize different vocabulary. Different academic disciplines may arrange content in particular organizational styles.

Tags:

cosine, identities, identity, integral, precalculus, sine, substitution, tangent, trigonometric, trigonometry

License Type:

Custom Permission Type
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Accessibility

Text Resources: Content is organized under headings and subheadings
Video resources: includes closed captioning or subtitles

Comments

This resource provided by:

Author:

Hannah Bradley

ALEX Classroom Resource

Blurred Lines