sin(theta) = a / c | csc(theta) = 1 / sin(theta) = c / a |
cos(theta) = b / c | sec(theta) = 1 / cos(theta) = c / b |
tan(theta) = sin(theta) / cos(theta) = a / b | cot(theta) = 1/ tan(theta) = b / a |
sin2(x) + cos2(x) = 1 | tan2(x) + 1 = sec2(x) | cot2(x) + 1 = csc2(x) |
sin(x y) = sin x cos y cos x sin y | ||
cos(x y) = cos x cosy sin x sin y |
angle | 0 | 30 | 45 | 60 | 90 |
---|---|---|---|---|---|
sin2(a) | 0/4 | 1/4 | 2/4 | 3/4 | 4/4 |
cos2(a) | 4/4 | 3/4 | 2/4 | 1/4 | 0/4 |
tan2(a) | 0/4 | 1/3 | 2/2 | 3/1 | 4/0 |
| (Law of Cosines) |