Prove the identities:

1.) cot (A + B) = (cotAcotB - 1) / (cotB + cotA)

2.) cot (A - B) = (cotAcotB + 1) / (cotB - cotA)

3.) sec (A + B) = (secAsecB) / (1 - tanAtanB)

4.) csc (A + B) = (cscAcscB) / (cotB + cotA)

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