Zusammenfassung der Ressource
Trigo formula
- t = tan A/2
- tan A = 2t / (1-t^2)
- cos A = (1 - t^2) / (1 + t^2)
- sin A = 2t / (1 + t^2)
- Product formula
- sin A + sin B = 2 sin [(A+B) /2] cos [(A-B) /2]
- sin A - sin B = 2 cos [(A+B) /2] sin [(A-B) /2]
- cos A + cos B = 2 cos [(A+B) /2] cos [(A-B) /2]
- cos A - cosB = - 2 sin [(A+B) /2] sin [(A-B) /2]
- Equalities
- sin^2 x+ cos^2 =1
- 1 + tan^2 x = sec^2 x
- 1+cot^2 x = csc^ x
- 和角公式
- sin (A+B) = sin A cos B + cos A sin B
- cos (A+B) = cos A cos B - sin A sin B
- tan (A+B) = (tan A+ tan B) / (1 - tanA tanB)
- sin (A-B) = sin A cos B - cos A sin B
- cos (A-B) = cos A cos B + sin A sin B
- tan (A-B) = (tan A - tan B) / (1 + tanA tanB)