Jazzsammich
New member
- Joined
- Apr 18, 2024
- Messages
- 1
Hi!
I'm not a student, but an artist working on something that requires some mathematical precision, and it's been over three decades since I've taken geometry and trig. Here's my problem:
I have two concentric squares: the larger one with side m and the smaller one with side n.
The smaller square is rotated by an angle θ such that (a) 0° < θ < 45° and (b) all four corners of the smaller square lie on the sides of the larger square, dividing m into smaller segments a and o.
I'm trying to figure out how to calculate θ given known values of m and n.
Thank you!
edit:
Obvious things I've got so far:
[imath]o^2 + a^2 = n^2[/imath]
[imath]m=a+o[/imath]
[math]sinθ=(o/n) ; cosθ = (a/n) ; tanθ=(o/a)[/math]
I'm not a student, but an artist working on something that requires some mathematical precision, and it's been over three decades since I've taken geometry and trig. Here's my problem:
I have two concentric squares: the larger one with side m and the smaller one with side n.
The smaller square is rotated by an angle θ such that (a) 0° < θ < 45° and (b) all four corners of the smaller square lie on the sides of the larger square, dividing m into smaller segments a and o.
I'm trying to figure out how to calculate θ given known values of m and n.
Thank you!
edit:
Obvious things I've got so far:
[imath]o^2 + a^2 = n^2[/imath]
[imath]m=a+o[/imath]
[math]sinθ=(o/n) ; cosθ = (a/n) ; tanθ=(o/a)[/math]
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