In this article, I give a rigorous proof of the period of cosine functions, using an

*a fortiori*argument, signaled by the use of the words “in particular”. When something is generally true for, say, all real numbers, it is “all the more” true for a particular case of a real number like zero. I use this logic to nail down the answer.

**Question**

**Solution**

**Suitable Levels**

* revision for IB Mathematics HL / SL

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other syllabuses that teach trigonometry
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