cotØ + tanØ = csc^2 Ø + sec^2 Ø
in your identity repertoire you should have the following:
sec^2 Ø = 1 + tan^2 Ø
csc^2 Ø = cot^2 Ø + 1
cotØ + tanØ = 1 + tan^ Ø + cot^ Ø + 1
0 = 2
which is false, thus there is no solution.
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