While working with a group of teachers on approaches to proving Pythagoras’ Theorem, these diagrams led to rich conversations in many directions.
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Comparagrams 
(n /2)^2 = (sin(θ) /2)^2 + (cos(θ) /2)^2 ?
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Does this relate to the image above, or is it something separate?
Given that (sin(θ))^2 + (cos(θ))^2 = 1,
(sin(θ) /2)^2 + (cos(θ) /2)^2 = (1/4)(sin(θ))^2 + (cos(θ))^2 = 1/4.
So n=1 or -1.
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