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sin(x) (reciprocal) =
1 / csc(x)
cos(x) (reciprocal) =
1 / sec(x)
tan(x) (reciprocal) =
1 / cot(x)
csc(x) (reciprocal) =
1 / sin(x)
sec(x) (reciprocal) =
1 / cos(x)
cot(x) (reciprocal) =
1 / tan(x)
tan(x) (quotient) =
sin(x) / cos(x)
cot(x) (quotient) =
cos(x) / sin(x)
sin²(x) + cos²(x) =
1
tan²x + 1 =
sec²(x)
1 + cot²(x) =
csc²(x)
sin(-x) =
-sin(x)
cos(-x) =
cos(x)
tan(-x) =
-tan(x)
csc(-x) =
-csc(x)
sec(-x) =
sec(x)
cot(-x) =
-cot(x)
sin(A+B) =
sinA cosB + cosA sinB
cos(A+B) =
cosA cosB - sinA sinB
sin(A-B) =
sinA cosB - cosA sinB
cos(A-B) =
cosA cosB + sinA sinB
sin(2x) =
2 sin(x) cos(x)
cos(2x) =
cos²(x) - sin²(x)
tan(2x) =
sin(2x) / cos(2x)