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--- basic_tools:trigonometric_functions [2017/11/07 13:47]
jakobadmin created
+++ basic_tools:trigonometric_functions [2018/04/25 17:26] (current)
jakobadmin [Trigonometric Functions]
@@ Line 1: / Line 1: @@
 ====== Trigonometric Functions ======
-<tabbox Why is it interesting?>
-<tabbox Layman>
+<tabbox Intuitive>
+  * [[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]]
-<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>
+<tabbox Concrete>
 [{{ :basic_notions:trigonometricfunctions.png?nolink |Source: http://advancedmathyoungstudents.com/blog/2017/10/06/that-trigonometry-diagram-again/}}]
-<tabbox Researcher>
+----
+  * https://problemproblems.wordpress.com/2018/04/23/teaching-right-triangle-trigonometry-as-a-series-of-problems/
+<tabbox Abstract>
 <note tip>
@@ Line 20: / Line 28: @@
-<tabbox Examples>
+<tabbox Why is it interesting?>
---> Example1#
+<blockquote>Imagine Bob The Alien visits Earth to study our species.
+Without new words, humans are hard to describe: “There’s a sphere at the top, which gets scratched occasionally” or “Two elongated cylinders appear to provide locomotion”.
-<--
---> Example2:#
+After creating specific terms for anatomy, Bob might jot down typical body proportions:
+  * The armspan (fingertip to fingertip) is approximately the height
-<--
+  * A head is 5 eye-widths wide
+  * Adults are 8 head-heights tall
-<tabbox FAQ>
+How is this helpful?
-<tabbox History>
+Well, when Bob finds a jacket, he can pick it up, stretch out the arms, and estimate the owner’s height. And head size. And eye width. One fact is linked to a variety of conclusions.
+Even better, human biology explains human thinking. Tables have legs, organizations have heads, crime bosses have muscle. Our biology offers ready-made analogies that appear in man-made creations.
+Now the plot twist: you are Bob the alien, studying creatures in math-land!
+Generic words like “triangle” aren’t overly useful. But labeling sine, cosine, and hypotenuse helps us notice deeper connections. And scholars might study haversine, exsecant and gamsin, like biologists who find a link between your tibia and clavicle.
+And because triangles show up in circles…
+{{ :basic_tools:vitruvian-triangle.png?nolink |}}
+…and circles appear in cycles, our triangle terminology helps describe repeating patterns!
+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>
 </tabbox>

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