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1/csc θ
sin θ
1/sin θ
csc θ
1/cos θ
sec θ
1/sec θ
cos θ
1/cot θ
tan θ
1/tan θ
cot θ
sin θ/cos θ
tan θ
cos θ/sin θ
cot θ
sin2 θ + cos2 θ
1
1 - cos2 θ
sin2 θ
1 - sin2 θ
cos2 θ
1 + tan2 θ
sec2 θ
sec2 θ - 1
tan2 θ
sec2 θ - tan2 θ
1
1 + cot2 θ
csc2 θ
csc2 θ - 1
cot2 θ
csc2 θ - cot2 θ
1
sin (π/2 - θ)
cos θ
cos (π/2 - θ)
sin θ
tan (π/2 - θ)
cot θ
sec (π/2 - θ)
csc θ
cot (π/2 - θ)
tan θ
csc (π/2 - θ)
sec θ
sin (-θ)
-sin θ
cos (-θ)
-cos θ
tan (-θ)
-tan θ
csc (-θ)
-csc θ
sec (-θ)
-sec θ
cot (-θ)
-cot θ
sin u cos v + cos u sin v
sin (u + v)
sin u cos v + cos u sin v
sin (u - v)
cos u cos v + sin u sin v
cos (u - v)
cos u cos v - sin u sin v
cos (u + v)
(tan u + tan v)/(1 - tan u tan v)
tan (u + v)
(tan u - tan v)/(1 + tan u tan v)
tan (u + v)
2 sin θ cos θ
sin 2θ
cos2 θ - sin2 θ
cos 2θ
2cos2 θ - 1
cos 2θ
1 - 2sin2 θ
cos 2θ
2tan θ/1-tan2 θ
tan 2θ
(1- cos 2θ)/2
sin2 θ
(1 + cos 2θ)/2
cos2 θ
(1- cos 2θ)/(1 + cos 2θ)
tan2 θ
士 √1 - cos u/ √2
sin u/2
士√1+ cos u/ √2
cos u/2
(1 - cos u)/ sin u
tan u/2
sin u / (1 + cos u)
tan u/2
sin u sin v
1/2 (cos(u − v) − cos(u + v))
1/2 (cos(u − v) + cos(u + v))