Where do the compound angle formulae come from? This activity is a route in to this question that does not involve drawing triangles, but rather seeing what happens when we combine simpler functions.
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Excellent activity as an intro to this subject. I didn't want to simply present the formulae as givens but I also didn't fancy lots of drawing triangles! A good way to consolidate other areas of maths. Thanks you.
This is an excellent activity to get students to identify the compound angle formulae for themselves meaning they are much more likely to recall it. It gives them some practice at sketching curves using standard transformations of the trig graphs and so is good consolidation of this skill. This could lead onto a nice proof from the students - or at least a half proof - of the compound angle results. Thank you for sharing.
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