vault backup: 2024-10-24 10:23:18

education/english/ENGL2010/Both Facts and Feelings - Emotion and News Literacy - Sivek.md

@@ -0,0 +1,16 @@
+- What conversations are meaningful?
+- What conversations are intentionally emotionally charged?
+- Fake news is rising
+- More people get news from social media
+- The attention economy is extremely effective
+- Social media is intentionally habit forming
+- Hate speech is poorly moderated, if at all
+- Fake news is meant to drive emotion
+- Manipulating emotions through social media (fake news) should raise
+- Emotional analytics *can* benefit the user
+- Very small (1/250 sec) exposure to content still has an impact
+- News literacy curriculum rarely addresses emotional news literacy
+- Mindfulness is good
+- System 1 and 2 thinking
+- Schools should address larger societal issues in discussion surrounding news literacy
+- 

education/math/MATH1060 (trig)/Addition and Subtraction.md

@@ -7,3 +7,17 @@ $$ \cos(\alpha - \beta) = \cos(\alpha)\cos(\beta) + \sin(\alpha)\sin(\beta) $$
 Given the formula $\tan(\alpha + \beta)$:
 $$\tan(\alpha + \beta) = \dfrac{\tan\alpha + \tan\beta}{1 - \tan\alpha\tan\beta} $$
 $$\tan(\alpha - \beta) = \dfrac{\tan\alpha - \tan\beta}{1 + \tan\alpha\tan\beta} $$
+
+## Cofunctions
+Given that cofunctions are two functions that add up to 90 degrees, you can use the trig identities for sum and difference to find cofunctions.
+
+For a right triangle where $\alpha = \theta$, $\beta = \frac{\pi}{2} - \theta$.
+
+This means that $\sin(\theta) = \cos(\frac{\pi}{2} - \theta)$
+
+Using this information, you can derive various cofunction identities.
+
+| $\sin\theta = \cos(\frac{\pi}{2} - \theta)$ | $\cos\theta = \sin(\frac{\pi}{2} - \theta)$  |
+| ------------------------------------------- | -------------------------------------------- |
+| $\tan\theta = \cot(\frac{\pi}{2} - \theta)$ | $\cot\theta = \tan(\frac{\pi}{2} - \theta))$ |
+| $\sec\theta = \csc(\frac{\pi}{2} - \theta)$ | $\csc\theta = \sec(\frac{\pi}{2} - \theta)$  |