O/T: Rearranging a mathematical equation.

Jan 14, 2021 2 Replies
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(I also posted this in uk.tech.digital-tv but the loving sentiment is the same)



Hello all,



Please forgive what must seem like a pointlessly trivial question to many of you, but I am not overly confident with mathematics (and I trust this group!) and would like to learn about...



Arctan!



I have a mobile phone with a particular camera on it which claims to have a field of view of 188 degrees, and a focal length of



1.66 mm. I would like to calculate the sensor width from these figures.

Field of view = 2 x arctan (sensor width / (2 x focal length))



so


118 = 2 x arctan (S.W. / 3.32)

then by the magic of magic I presume:


59 = arctan (S.W. / 3.32)

But then what? If the brackets weren't involved I'd have a better idea, but they are, so I don't.



And what about the arctan operator when juggling things about? Is it like square root and square?



If anyone can help me with this I would be very grateful. It is only curiosity, nothing more urgent than that. (Nokia 7.2 wide angle lense, if anyone is wondering.)



Thank you in advance,



David Paste.


tan(59) = tan(arctan(sw / 3.32))

1.66 = sw / 3.32

5.51 = sw

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