basic_tools:trigonometric_functions
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basic_tools:trigonometric_functions [2017/12/16 13:06] jakobadmin [Why is it interesting?] |
basic_tools:trigonometric_functions [2018/04/25 17:26] (current) jakobadmin [Trigonometric Functions] |
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| ====== Trigonometric Functions ====== | ====== Trigonometric Functions ====== | ||
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| + | <tabbox Intuitive> | ||
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| + | * [[https://betterexplained.com/articles/intuitive-trigonometry/|How To Learn Trigonometry Intuitively]] by Kalid Azad | ||
| + | * [[https://betterexplained.com/articles/intuitive-understanding-of-sine-waves/|Intuitive Understanding of Sine Waves]] by Kalid Azad | ||
| + | * [[https://betterexplained.com/articles/law-of-cosines/|Intuition For The Law Of Cosines]],[[https://betterexplained.com/articles/law-of-sines/|Intuition For The Law Of Sines]] | ||
| + | * [[http://www.businessinsider.com/7-gifs-trigonometry-sine-cosine-2013-5?IR=T|7 Animated GIFs That Will Make You Instantly Understand Trigonometry]] | ||
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| + | <tabbox Concrete> | ||
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| + | [{{ :basic_notions:trigonometricfunctions.png?nolink |Source: http://advancedmathyoungstudents.com/blog/2017/10/06/that-trigonometry-diagram-again/}}] | ||
| + | |||
| + | ---- | ||
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| + | * https://problemproblems.wordpress.com/2018/04/23/teaching-right-triangle-trigonometry-as-a-series-of-problems/ | ||
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| + | <tabbox Abstract> | ||
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| + | <note tip> | ||
| + | The motto in this section is: //the higher the level of abstraction, the better//. | ||
| + | </note> | ||
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| <tabbox Why is it interesting?> | <tabbox Why is it interesting?> | ||
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| After creating specific terms for anatomy, Bob might jot down typical body proportions: | After creating specific terms for anatomy, Bob might jot down typical body proportions: | ||
| - | The armspan (fingertip to fingertip) is approximately the height | + | * The armspan (fingertip to fingertip) is approximately the height |
| - | A head is 5 eye-widths wide | + | * A head is 5 eye-widths wide |
| - | Adults are 8 head-heights tall | + | * Adults are 8 head-heights tall |
| - | body proportions | + | |
| How is this helpful? | How is this helpful? | ||
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| And because triangles show up in circles… | And because triangles show up in circles… | ||
| - | body proportions | + | {{ :basic_tools:vitruvian-triangle.png?nolink |}} |
| …and circles appear in cycles, our triangle terminology helps describe repeating patterns! | …and circles appear in cycles, our triangle terminology helps describe repeating patterns! | ||
| Line 32: | Line 59: | ||
| Trig is the anatomy book for “math-made” objects. If we can find a metaphorical triangle, we’ll get an armada of conclusions for free. | Trig is the anatomy book for “math-made” objects. If we can find a metaphorical triangle, we’ll get an armada of conclusions for free. | ||
| <cite>[[https://betterexplained.com/articles/intuitive-trigonometry/|How To Learn Trigonometry Intuitively]] by Kalid Azad</cite></blockquote> | <cite>[[https://betterexplained.com/articles/intuitive-trigonometry/|How To Learn Trigonometry Intuitively]] by Kalid Azad</cite></blockquote> | ||
| - | <tabbox Layman> | ||
| - | |||
| - | <note tip> | ||
| - | Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party. | ||
| - | </note> | ||
| - | | ||
| - | <tabbox Student> | ||
| - | |||
| - | * [[https://betterexplained.com/articles/intuitive-trigonometry/|How To Learn Trigonometry Intuitively]] by Kalid Azad | ||
| - | * [[https://betterexplained.com/articles/intuitive-understanding-of-sine-waves/|Intuitive Understanding of Sine Waves]] by Kalid Azad | ||
| - | |||
| - | [{{ :basic_notions:trigonometricfunctions.png?nolink |Source: http://advancedmathyoungstudents.com/blog/2017/10/06/that-trigonometry-diagram-again/}}] | ||
| - | |||
| - | <tabbox Researcher> | ||
| - | |||
| - | <note tip> | ||
| - | The motto in this section is: //the higher the level of abstraction, the better//. | ||
| - | </note> | ||
| - | |||
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| - | <tabbox Examples> | ||
| - | |||
| - | --> Example1# | ||
| - | |||
| - | |||
| - | <-- | ||
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| - | --> Example2:# | ||
| - | |||
| - | |||
| - | <-- | ||
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| - | <tabbox FAQ> | ||
| - | | ||
| - | <tabbox History> | ||
| </tabbox> | </tabbox> | ||
basic_tools/trigonometric_functions.1513426019.txt.gz · Last modified: 2017/12/16 12:07 (external edit)
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