Enhance trigonometric documentation with comprehensive identities and LaTeX rendering fixes #15
Conversation
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
… LaTeX rendering fixes - Complete enhancement of Document 03 Trigonometric Identities with integrated TODO content - Add comprehensive geometric derivations for addition formulas using unit circle approach - Integrate co-function, periodicity, quadrant, and inverse function identity sections - Add double-angle and half-angle formulas with worked examples - Include educational cross-references to MathWorld for advanced learning - Standardize all degree symbols from Unicode ° to LaTeX ^\circ for KaTeX compatibility - Fix LaTeX rendering issues: \arccot function notation, inequality symbols, missing ranges - Apply Unicode symbol standardization across all three trigonometric documents - Update index.md to reflect completion of trigonometric documentation enhancement - Ensure all mathematical expressions render properly in documentation build system
- Add Example 4 demonstrating cosine difference formula: cos(15°) = cos(45° - 30°) - Remove duplicate content that was incorrectly placed at top of document - Complete the Examples of Addition Formulas section with both addition and subtraction cases - Ensure comprehensive coverage of trigonometric addition/difference formulas with worked examples
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
This PR completes the comprehensive enhancement of Document 03 Trigonometric Identities and includes critical LaTeX rendering fixes across all trigonometric documentation.
Content Enhancements
Technical Improvements
\arccotfunction notation, inequality symbols, and missing mathematical ranges^\circacross all three trigonometric documentsTesting & Validation
Files Modified
docs/src/Trigonometry/01 Angles & Measurements.md: Unicode degree symbol standardizationdocs/src/Trigonometry/02 Trigonometric Functions.md: Unicode degree symbol standardizationdocs/src/Trigonometry/03 Trigonometric Identities.md: Complete enhancement with comprehensive content, rendering fixes, and proper example organizationdocs/src/index.md: Updated to reflect completion of trigonometric documentationKey Commits
This enhancement transforms Document 03 from a basic outline into a comprehensive educational resource while ensuring optimal technical rendering across all trigonometric documentation.