Retina display math

01252014, 10:00 PM
(This post was last modified: 01252014 10:10 PM by Joe Horn.)
Post: #1




Retina display math
In the Wikipedia article about "Retina Display", in the second paragraph of the "Technical definition" section, it has this phrase (DEGREE MODE is assumed):
"twice the Tan of π divided by 360 (equal to half a degree in radians)" A few lines later it says: "Two times the Tan of π divided by 360 can also be approximated with π divided by 180 (= 0.01745)." Am I going senile, or are these statements mathematically whacked? According to all my HP calculators, in degree mode: 2*tan(pi)/360 = tan(pi)/180 = 0.000304923... 0.5 degrees = 0.008726646... radians pi/180 = 0.01745329... The article claims that the first two are equal, and that the first and third are approximately equal. But they're orders of magnitude apart. What's going on here? It's not a degree mode versus radian mode thing. In radian mode, the first is zero and the other two remain unchanged. EDIT: Oh, sorry, false alarm. They forgot to put parentheses around "pi divided by 360", and then it all works ok in radian mode, even though the article is entirely about degrees. Sheesh. <0ɸ0> Joe 

01252014, 10:31 PM
Post: #2




RE: Retina display math
\( 2\tan(\pi/360) \) since \( \pi/360 \) radians is half a degree
Graph 3D  QPI  SolveSys 

01262014, 04:59 AM
Post: #3




RE: Retina display math
(01252014 10:31 PM)Han Wrote: \( 2\tan(\pi/360) \) since \( \pi/360 \) radians is half a degree That's what alerted me to the missing parentheses: their mention of "half a degree in radians". I'm so accustomed to the "order of operations" rule that at first I just blindly did exactly what they said, without thinking. Lesson learned. <0ɸ0> Joe 

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