Welcoming you in another post of the series “Trigonometry”. We shall discuss four very important formulas of Trigonometry which is widely known as “Angles Addition Formula”.
\(\sin(\text{A}+\text{B})=\sin{\text{A}}\cos{\text{B}}+\cos{\text{A}}\sin{\text{B}}\)
\(\sin(\text{A}-\text{B})=\sin{\text{A}}\cos{\text{B}}-\cos{\text{A}}\sin{\text{B}}\)
\(\cos(\text{A}+\text{B})=\cos{\text{A}}\cos{\text{B}}-\sin{\text{A}}\sin{\text{B}}\)
\(\cos(\text{A}-\text{B})=\cos{\text{A}}\cos{\text{B}}+\sin{\text{A}}\sin{\text{B}}\)
\(\tan(\text{A}+\text{B})=\dfrac{\tan{\text{A}}+\tan{\text{B}}}{1-\tan{\text{A}}\tan{\text{B}}}\)
\(\tan(\text{A}-\text{B})=\dfrac{\tan{\text{A}}-\tan{\text{B}}}{1+\tan{\text{A}}\tan{\text{B}}}\)
\(\cot(\text{A} + \text{B}) = \dfrac{\cot{\text{A}} \cot{\text{B}} - 1}{\cot{\text{A}} + \cot{\text{B}}}\)
\(\cot(\text{A} - \text{B}) = \dfrac{\cot{\text{B}}\cot{\text{A}} + 1}{\cot{\text{B}} - \cot{\text{A}}}\)
Comments
Post a Comment