From d5b3c54761583077bdfcca3c115453e39ff41116 Mon Sep 17 00:00:00 2001
From: zleyyij <75810274+zleyyij@users.noreply.github.com>
Date: Tue, 22 Oct 2024 20:46:27 -0600
Subject: [PATCH] vault backup: 2024-10-22 20:46:27

---
 education/math/MATH1060 (trig)/Addition and Subtraction.md | 5 ++++-
 1 file changed, 4 insertions(+), 1 deletion(-)

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
+$$\tan(\alpha + \beta) = \dfrac{\tan\alpha + \tan\beta}{1 - \tan\alpha\tan\beta} $$
+$$\tan(\alpha - \beta) = \dfrac{\tan\alpha - \tan\beta}{1 + \tan\alpha\tan\beta} $$