200.100.165.237: /* Explanation */

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 The third and fourth line is made by treating the [https://grabnaukri.com/trigonometry-formulas/ trigonometric function] as a product of variables rather than a function and then using the above identities to create words. e.g. sin = b/c -> cin = b/s (this could also be a reference to the C++ cin).
-The second to last line performs some algebra on the individual letters of (tan θ)² = b²/a² as a setup to the last line.  The last line takes the formula distance = 1/2 a&#8203;t² "from physics" and plugs it into the equation of the previous line, doing some algebra to replace a&#8203;t² with distance2 and expanding (na)² into nana to get the final equation, distance2banana = b³/θ².  This is valid algebra only if the trigonometric operators are taken as variable products rather than operators, but this is a common misconception encountered when people first learn trigonometry.  The distance equation is the distance a constantly accelerating object initially at rest moves in a given length of time t, most often used to find how far an object dropped from rest will fall under the influence of gravity in a given amount of time (or how long it will take to fall a given distance).
+The second to last line performs some algebra on the individual letters of (tan θ)² = b²/a² as a setup to the last line.  The last line takes the formula distance = 1/2 a&#8203;t² "from physics" and plugs it into the equation of the previous line, doing some algebra to replace a&#8203;t² with distance2 and expanding (na)² into nana to get the final equation, distance2banana = b³/θ². The joke there is that this is read aloud the same as "distance to banana" which sounds like the distance to some unspecified banana. This is valid algebra only if the trigonometric operators are taken as variable products rather than operators, but this is a common misconception encountered when people first learn trigonometry.  The distance equation is the distance a constantly accelerating object initially at rest moves in a given length of time t, most often used to find how far an object dropped from rest will fall under the influence of gravity in a given amount of time (or how long it will take to fall a given distance).
 There are a few formulas that have mistakes if you simply make algebraic manipulations to the six standard trigonometric functions.

2070: Trig Identities - Revision history

200.100.165.237: /* Explanation */

Davidy22: Reverted edits by The author of xkcd (talk) to last revision by Theusaf

The author of xkcd at 22:57, 16 May 2022

Theusaf: Reverted edits by 👖🔥 (talk) to last revision by Jacky720

👖🔥 at 17:41, 11 May 2022

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Ex Kay Cee Dee at 23:44, 4 May 2022

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Ex Kay Cee Dee at 22:33, 4 May 2022

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