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SELF-CHECKING PAIRS OF IDENTITIES (last updated 21Sep13)

Sets of pairs incorporating specified number of distinct integer or half-integer cotangent values (in Compound measure sequence within each set):
  3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23  25    29 30 31

Best overall Compound measures (values < 1.88000):
1.81462 1.83265 1.84277 1.84630 1.85000 1.85024 1.85112 1.85329 1.85366 1.85563
1.85672 1.85728 1.85894 1.85959 1.85963 1.86158 1.86207 1.86219 1.86308 1.86451
1.86482 1.86545 1.86616 1.86672 1.86857 1.86862 1.86969 1.87040 1.87056 1.87079
1.87150 1.87196 1.87315 1.87533 1.87611 1.87666 1.87735 1.87752 1.87794 1.87850
1.87901 1.87946 1.87953