education/math/MATH1060 (trig)/Identities.md

@@ -10,6 +10,10 @@ Because the following are inverses of their counterparts, you only need to remem
 | $$ sin\theta = y $$           | $$ csc\theta = \frac{1}{y} $$  |                                               | $$ csc\theta = \frac{1}{sin\theta} $$                                 |
 | $$ cos\theta = x $$           | $$ sec \theta = \frac{1}{x} $$ |                                               | $$ sec\theta = \frac{1}{cos\theta} $$                                 |
 | $$ tan\theta = \frac{y}{x} $$ | $$ cot\theta = \frac{x}{y} $$  | $$ tan\theta = \frac{sin\theta}{cos\theta} $$ | $$ cot\theta = \frac{1}{tan\theta} = \frac{cos\theta}{sin{\theta}} $$ |
+
+$$ cot \theta = \frac{x}{y} $$
+$$ sec\theta = \frac{1}{cos\theta}$$
+$$ csc\theta = \frac{1}{sin\theta}$$
 # 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.
 $$ sin^2 \theta + cos^2 \theta = 1 $$

education/nutrition/Digestive System.md

@@ -1,68 +0,0 @@
-The primary roles of the digestive system are:
-- breakdown of food into nutrients
-- absorption of nutrients
-- elimination of solid waste products
-Digestion is the process of breaking down large food molecules into nutrients that the body can use
-Absorption is the uptake and removal of nutrients from the digestive tract.
-- The digestive tract is also called the gastrointestinal tract (GI), alimentary canal, or gut
-# The GI tract
-## Order
-1. Mouth
-	1. Digestion starts here for carbohydrates and fats (not proteins)
-	2. Salivary glands are structures that produce saliva and secrete the fluid in the oral cavity
-	3. Saliva is the watery fluid that contains mucus and enzymes
-		1. Lysozyme - Destroys some bacteria that are in the food or mouth
-		2. Salivary Amolase
-		3. Lingual Lipase
-	4. Taste buds have specialized cells that help distinguish five basic tastes
-	5. You lose taste buds as we age. Older people have fewer taste buds than younger people.
-2. Esophagus*
-	1. The esophagus is a flap of tough tissue that prevents the food from entering the larynx and the trachea
-	2. **Peristalsis** is the wave of muscular contraction that helps move material through most of the digestive tract. It's an involuntary response to swallowing
-	3. By relaxing and contracting, the muscles can mix substances, in the lumen and control movement through the tract
-3. Stomach*
-	1. The stomach is a muscular sac that stores and mixes food
-	2. Gastric glands located in the stomach synthesize and secrete gastric juice
-		1. Gastric juice is a mix of mucus, hydrochloric acid, intrinsic factor, and digestive enzymes
-			1. Mucus cells secrete mucus to protect the lining of the stomach from the acid
-		2. Parietal cells secrete intrinsic factor and the components of hydrochloric acid into the lumen of the stomach
-			1. Intrinsic factor is a substance necessary for absorbing vitamin B-12
-		3. Chief cells secrete some chemically inactive digestive enzymes
-			1. Pepsinogen
-			2. Gastric lipase
-		4. G cells secrete gastrin - A hormone that stimulates stomach motility and gastric gland secretions
-4. Small intestine (DJI)
-	1. Duodenum
-	2. Jejunum
-	3. ileum*
-5. Large intestine
-6. Rectum
-7. Anus
-## Sphincters
-Sphincters are thickened regions of circular muscle that control the flow of contents at various points in the GI tract.
-- Contracted:
-	- Passageway closed
-	- Flow is restricted
-- Essential for normal digestion and absorption
-There are 3 main sphincters associated with digestion:
-1. Gastroesophageal/lower esophageal/cardiac - connects the esophagus to the stomach
-2. Pyloric - connects the stomach to the duodenum (small intestine) and regulates the flow of chyme
-3. ileocecal valve - Connects the small intestine to the large intestine
-The upper esophageal sphincter is at the top of the esophagus (not as important).
-
-# Digestion
-**Mechanical digestion refers to the physical treatment that food undergoes** while it is in the intestinal tract
-
-Chemical digestion refers to the breakdown of large molecules in food into smaller components, primarily by the action of **enzymes**.
-- Enzymes are a protein that speeds up the rate of a chemical reaction without being altered in the process.
-- Enzymes usually end in -ase and begin with the name of whatever they are working to digest:
-	- Amylase digests amylose
-	- Maltase digests maltose
-
-
-# Definitions
-| Phrase   | Definition                                                                                   |
-| -------- | -------------------------------------------------------------------------------------------- |
-| Lumen    | The open space inside of the digestive system                                                |
-| Chyme    | A semiliquid mass that forms when food mixes with gastric juice. Occurs in the lower stomach |
-| Motility | The ability of an organism to move independently                                             |