If (m+2)sin ø + (2m-1)cos ø = 2m+1 then tan ø is equal to (2m) /(m^2-1)
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using x to avoid copy/paste of ø,
m sinx + 2sinx + 2m cosx - cos x = 2m+1
(sinx + 2cosx)m + (2sinx - cosx) = 2m+1
If these are identical, then
sinx + 2cosx = 2
2sinx - cosx = 1
sinx = 4/5
cosx = 3/5
tanx = 4/3
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