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How do I align several formulas along the '=' sign?
To align several formulas along the '=' sign, you can use a matrix. Note that the formulas contain special placement for the '{}' brackets around the equal sign. Also note that alignl below is ALIGNL, not ALIGN1. Follow the example:
matrix{
alignr sin^2 x + cos^2 x#{}={}#alignl 1 ##
alignr cos^2 x #{}={} #alignl 1 - sin^2 x
}