diff --git a/education/math/MATH1060 (trig)/Addition and Subtraction.md b/education/math/MATH1060 (trig)/Addition and Subtraction.md index 8f70705..b4fda6c 100644 --- a/education/math/MATH1060 (trig)/Addition and Subtraction.md +++ b/education/math/MATH1060 (trig)/Addition and Subtraction.md @@ -1,6 +1,9 @@ Given the formula $\sin(\alpha + \beta)$: $$ \sin(\alpha + \beta) = \sin(\alpha)\cos(\beta) + \cos(\alpha)\sin(\beta) $$ +$$ \sin(\alpha - \beta) = \sin(\alpha)\cos(\beta) - \cos(\alpha)\sin(\beta) $$ Given the formula $\cos(\alpha + \beta)$: $$ \cos(\alpha + \beta) = \cos(\alpha)\cos(\beta) - \sin(\alpha)\sin(\beta) $$ +$$ \cos(\alpha - \beta) = \cos(\alpha)\cos(\beta) + \sin(\alpha)\sin(\beta) $$ Given the formula $\tan(\alpha + \beta)$: -$$\frac{\alpha + \} \dfrac{\tan\alpha + \tan\beta}{1 - \tan\alpha\tan\beta} $$ \ No newline at end of file +$$\tan(\alpha + \beta) = \dfrac{\tan\alpha + \tan\beta}{1 - \tan\alpha\tan\beta} $$ +$$\tan(\alpha - \beta) = \dfrac{\tan\alpha - \tan\beta}{1 + \tan\alpha\tan\beta} $$