| cos2(x) + sin2(x) = 1 |
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| sin(a+b) = sin(a)cos(b) + sin(b)cos(a) | sin(a-b) = sin(a)cos(b) - sin(b)cos(a) |
| cos(a+b) = cos(a)cos(b) - sin(a)sin(b) | cos(a-b) = cos(a)cos(b) + sin(a)sin(b) |
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| tan(a+b) = (tan(a) + tan(b))/(1 - tan(a)tan(b)) |
| tan(a-b) = (tan(a) - tan(b))/(1 + tan(a)tan(b)) |
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| sin(p) + sin(q) = 2 sin((p+q)/2) cos((p-q)/2) |
| sin(p) - sin(q) = 2 sin((p-q)/2) cos((p+q)/2) |
| cos(p) + cos(q) = 2 cos((p+q)/2) cos((p-q)/2) |
| cos(p) - cos(q) = - 2 sin((p+q)/2) sin((p-q)/2) |