TRIGONOMETRIC FUNCTIONS
Some basic information or laws
- SinA=BC/AC=ALTITUDE/HYPOTENEWS
- CosA=AB/AC=BASE/HYPOTENEWS
- TanA=BC/AB=ALTITUDE/BASE
- CosecA=AC/BC=HYPOTENEWS/ALTITUDE
- SecA=AC/AB=HYPOTENEWS/BASE
- CotA=AB/BC=BASE/ALTITUDE
- SinA.CosecA=1
- CosA.SecA=1
- TanA.CotA=1
- Sin²A + Cos²A =1
- Cosec²A - Cot²A =1
- Sec²A - Tan²A =1
- TanA= SinA/CosA
- CotA= cosA/SinA
- Sin30 = cos60 = 1/2
- Sin45 = cos45 = 1/√2
- Sin60 = Cos30 =√3/2
- Sin90 = Cos0 = 1
- Sin0 = cos90 = 0
- Tan0 = cot90 = 0
- Tan30 = cot60 = 1/√3
- Tan60 = cot30 = √3
- Tan45 = cot45 = 1
- Tan90 = cot0 = ∞
- Sin(A+B) = SinACosB + CosASinB
- Sin(A-B) = SinACosB - CosASinB
- Cos(A+B) = CosACosB - SinASinB
- Cos(A–B) = CosACosB + SinASinB
- Sin(A+B)Sin(A–B) = Sin²A – Sin²B = Cos²B – Cos²A
- Cos(A+B)cos(A–B) = cos²A – sin²B = cos²B – sin²A
- Tan(A+B) = (tanA+tanB) / (1–tanAtanB)
- Tan(A–B) = (tanA–tanB) / (1+tanAtanB)
- Cot(A+B) = (cotAcotB –1) / (cotA+cotB)
- Cot(A–B) = (cotAcotB +1) / (cotB–cotA)
- Tan(A+B+C) = (tanA + tanB + tanC –tanAtanBtanC) / (1– tanAtanB –tanBtanC – tanCtanA)
