From ae2df8eb0e6f0a222066a863e434e44eea6b01d4 Mon Sep 17 00:00:00 2001
From: zleyyij <75810274+zleyyij@users.noreply.github.com>
Date: Wed, 18 Sep 2024 12:02:12 -0600
Subject: [PATCH] vault backup: 2024-09-18 12:02:12

---
 education/math/MATH1060 (trig)/Identities.md   | 18 ++++++++++++++++++
 .../math/MATH1060 (trig)/The Unit Circle.md    | 13 -------------
 education/math/MATH1060 (trig)/Untitled.md     |  0
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 create mode 100644 education/math/MATH1060 (trig)/Identities.md
 delete mode 100644 education/math/MATH1060 (trig)/Untitled.md

diff --git a/education/math/MATH1060 (trig)/Identities.md b/education/math/MATH1060 (trig)/Identities.md
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+# Trigonometric Identities
+
+All of the following only apply when the denominator is not equal to zero.
+
+$$ tan \theta = \frac{y}{x} $$
+Because the following are inverses of their counterparts, you only need to remember the equivalents for $sin$, $cos$, and $tan$, then just find the inverse by taking $1/v$. 
+
+| Identity                        | Inverse Identity               |
+| ------------------------------- | ------------------------------ |
+| $$ sin\theta = y $$             | $$ csc\theta = \frac{1}{y} $$  |
+| $$ cos\theta = x $$             | $$ sec \theta = \frac{1}{x} $$ |
+| $$ tan\theta = \frac{sin\theta} |                                |
+$$ cot \theta = \frac{x}{y} $$
+$$ sec\theta = \frac{1}{cos\theta}$$
+$$ csc\theta = \frac{1}{sin\theta}$$
+# Pythagorean Identities
+The Pythagorean identity expresses the Pythagorean theorem in terms of trigonometric functions. It's a basic relation between the sine and cosine functions.
+$$ sin^2 \theta + cos^2 \theta = 1 $$
diff --git a/education/math/MATH1060 (trig)/The Unit Circle.md b/education/math/MATH1060 (trig)/The Unit Circle.md
index 38919e4..37bb832 100644
--- a/education/math/MATH1060 (trig)/The Unit Circle.md	
+++ b/education/math/MATH1060 (trig)/The Unit Circle.md	
@@ -26,19 +26,6 @@ Finding a reference angle:
 | 2        | $180\degree - \theta$ |
 | 3        | $\theta - 180\degree$ |
 | 4        | $360\degree - \theta$ |
-## Other Trigonometric Functions
-All of the following only apply when the denominator is not equal to zero.
-
-$$ tan \theta = \frac{y}{x} $$
-Because the following are inverses of their counterparts, you only need to remember the equivalents for $sin$, $cos$, and $tan$, then just find the inverse by taking $1/v$. 
-$$ sec \theta = \frac{1}{x} $$
-$$ csc = \frac{1}{y} $$
-$$ cot \theta = \frac{x}{y} $$
-
-## The Pythagorean Identity
-The Pythagorean identity expresses the Pythagorean theorem in terms of trigonometric functions. It's a basic relation between the sine and cosine functions.
-$$ sin^2 \theta + cos^2 \theta = 1 $$
-
 # Definitions
 
 | Term             | Description                                                                   |
diff --git a/education/math/MATH1060 (trig)/Untitled.md b/education/math/MATH1060 (trig)/Untitled.md
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