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Show that the value of the determinant ...

Show that the value of the determinant `|(tan(A+Q),tan(B+P),tan(C+P)),(tan(A+Q),tan(B+Q),tan(C+Q)),(tan(A+R),tan(B+R),tan(C+R))|` vanishes for all values of `A, B, C, P,Q & R` where `A+B+C+P+Q+R=0`

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