Trigonometry for Dummies
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhFN59Nko6b8wVHugTmpK646KUb4i5og-BTt4aXDpNFNJhMzEDxYTqDRKN1743gQkYhSzb_j-2qHx6U2_G6q-7rA4rr_bqkkIUjYfm5D8YjXpRagc4_LGBcyod3pdT4AnZUnI9uTQ/s400/tfd1.png)
This is a doublet of doublets. If you move one doublet towards the other, for example by increasing the smaller J, the central peaks will coalesce into a single peak of double intensity (the algebraic sum of the central peaks).
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhN4BozWsDomvuNWUwKwtfXzvZw-7uUAzHN2HsOP3y2flX20XPEoQkszEKxbtLEsVYj-7gfOQmPhb9yAlaCZuobkgji0bzLmFhVeGRZJDm_KNtCkSuZupXkwfcQYM7sfoMIzCT6_g/s400/tfd2.png)
A triplet is a special case of doublet of doublets (the Js are identical).
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgGHcFUrB2DDXWrJYaQxN3UGhlPq14L9pqpso6AgUOqCbd_u3n2KANjMlGsYeqlO88sHJ_4pBBEpw5MFsJEXLEpiJrskDLKmc7aaTKi12ABeeWvplNUFOXzs9fs_1Mqv_Xx07holA/s400/tfd3.png)
Another doublet of doublets. This time the smaller coupling is anti-phase.
If we increase the small J, we'll see another algebraic addition.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1xtqoBjfJtlN6OPGZcCkg6EJLzypCbYUS7zV0cxXLsUVxtzIYt6VGj_lVMmj-C52fCXoMlcVNnQOO2P6YDz4QaBzHIW4dicyqI_5cZms_3T7C-8rPZwK4cQCvuRpHezfmE8swqQ/s400/tfd4.png)
This is a triplet. Right?
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