Different Ways of Solving a Contest Problem: Index

I’m doing something that I should have done a long time ago: collecting a series of posts into one single post. The following links comprised my series on different ways of solving the contest problem “If 3 \sin \theta = \cos \theta, what is \sin \theta \cos \theta?”

Part 1: Drawing the angle \theta

Part 2: A first attempt using a Pythagorean identity.

Part 3: A second attempt using a Pythagorean identity and the original hypothesis for \theta.

 

 

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