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Sin-1 A + Sin-1 B=
Sin-1[A √1 - B² + B √1 - A²]
Sin-1 A - Sin-1B=
Sin-1 [A√1-B2 - B√1-A2]
Cos-1A + Cos-1B=
Cos-1 [AB - √(1-A2)(1-B2)]
Cos-1A - Cos-1B=
Cos-1 [AB + √(1-A-2)(1-B-2)]
Tan-1A + Tan-1B=
Tan-1 A+B/1-AB
Tan-1A - Tan-1B=
Tan-1 A-B/1+AB
2Tan-1A=
Tan-1 2A/1-A2
A2=
B2 + C2 - 2BC CosA
B2=
A2 + C2 - 2AC CosB
C2=
A2 + B2 - 2AB CosC
Sin (A+B)=
SinA CosB + CosA SinB
Sin (A-B)=
SinA CosB - CosA SinB
Cos (A+B)=
CosA CosB - SinA SinB
Cos (A-B)=
CosA CosB + SinA SInB
Sin(A+B) + Sin(A-B)=
2SinA CosB
Sin(A+B) - Sin(A-B)=
2CosA SinB
Cos(A+B) + Cos(A-B)=
2CosA CosB
Cos(A+B) - Cos(A-B)=
-2SinA SinB
SinP + SinQ=
2Sin P+Q/2 Cos P-Q/2
SinP - SinQ=
2Cos P+Q/2 Sin P-Q/2
CosP + SinQ=
2Cos P+Q/2 Cos P-Q/2
CosP - SinQ=
-2Sin P+Q/2 Sin P-Q/2