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sin (π/2-u) cos u cos (π/2-u) sin u tan (π/2-u) cot u cot (π/2-u) tan u sec (π/2-u) csc u csc (π/2-u) sec u sin (-u) -sin u cos (-u) cos u tan (-u) -tan u csc (-u) -csc u sec (-u) sec (u) cot (-u) -cot u sin 2u 2sin u cos u cos 2u cos2 u- sin2 u 2cos2 u -1 1-2sin2 u tan 2u 2tan u/(1-tan2 u) sin2 u (1-cos 2u)/2 cos2 u (1+cos 2u)/2 tan2 u (1-cos 2u)/(1+cos 2u) sin u+sin v 2sin [(u+v)/2] cos[(u-v)/2] sin u-sin v 2cos [(u+v)/2] sin [(u-v)/2] cos u+cos v 2cos [(u+v)/2] cos [(u-v)/2] cos u-cos v -2sin [(u+v)/2] sin [(u-v)/2]