Stage: 5 Challenge Level: 
Care needs to be taken over values of $\alpha$ and $\beta$ greater than $2\pi$.
Manipulating algebraic expressions/formulae. Number theory. Patterned numbers. Mathematical reasoning & proof. Dynamical systems. Visualising. Stage 5 - Reviewed 2012. Generalising. Inequality/inequalities. Complex numbers.
Published September 2004.
Copyright © 2007. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project, which also includes the Plus and Motivate sites.
email: nrich@damtp.cam.ac.uk