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Trig Identities Reference
| Identity | Formula |
|---|---|
| Pythagorean | sin^2(x) + cos^2(x) = 1 |
| Pythagorean | 1 + tan^2(x) = sec^2(x) |
| Pythagorean | 1 + cot^2(x) = csc^2(x) |
| Double Angle | sin(2x) = 2*sin(x)*cos(x) |
| Double Angle | cos(2x) = cos^2(x) - sin^2(x) |
| Double Angle | tan(2x) = 2*tan(x) / (1 - tan^2(x)) |
| Sum | sin(a+b) = sin(a)cos(b) + cos(a)sin(b) |
| Sum | cos(a+b) = cos(a)cos(b) - sin(a)sin(b) |
| Half Angle | sin(x/2) = +/-sqrt((1-cos(x))/2) |
| Half Angle | cos(x/2) = +/-sqrt((1+cos(x))/2) |
| Reciprocal | csc(x) = 1/sin(x) |
| Reciprocal | sec(x) = 1/cos(x) |
| Reciprocal | cot(x) = 1/tan(x) |