diff --git a/education/english/ENGL2010/Both Facts and Feelings - Emotion and News Literacy - Sivek.md b/education/english/ENGL2010/Both Facts and Feelings - Emotion and News Literacy - Sivek.md new file mode 100644 index 0000000..ecf34df --- /dev/null +++ b/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 +- \ No newline at end of file diff --git a/education/math/MATH1060 (trig)/Addition and Subtraction.md b/education/math/MATH1060 (trig)/Addition and Subtraction.md index b4fda6c..6989a28 100644 --- a/education/math/MATH1060 (trig)/Addition and Subtraction.md +++ b/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. + +| $\sin\theta = \cos(\frac{\pi}{2} - \theta)$ | $\cos\theta = \sin(\frac{\pi}{2} - \theta)$ | +| ------------------------------------------- | -------------------------------------------- | +| $\tan\theta = \cot(\frac{\pi}{2} - \theta)$ | $\cot\theta = \tan(\frac{\pi}{2} - \theta))$ | +| $\sec\theta = \csc(\frac{\pi}{2} - \theta)$ | $\csc\theta = \sec(\frac{\pi}{2} - \theta)$ |