diff --git a/.obsidian/app.json b/.obsidian/app.json index 4847cec..915aaf2 100644 --- a/.obsidian/app.json +++ b/.obsidian/app.json @@ -8,5 +8,6 @@ "downscalePercent": 100 }, "spellcheck": true, - "focusNewTab": false + "focusNewTab": false, + "alwaysUpdateLinks": true } \ No newline at end of file diff --git a/Pasted image 20240913162148.png b/Pasted image 20240913162148.png new file mode 100644 index 0000000..eab1b1a Binary files /dev/null and b/Pasted image 20240913162148.png differ diff --git a/education/math/MATH1060 (trig)/The Unit Circle.md b/education/math/MATH1060 (trig)/The Unit Circle.md index fe7e171..8bbfdd2 100644 --- a/education/math/MATH1060 (trig)/The Unit Circle.md +++ b/education/math/MATH1060 (trig)/The Unit Circle.md @@ -4,7 +4,7 @@ The unit circle has a center a $(0, 0)$, and a radius of $1$ with no defined uni Sine and cosine can be used to find the coordinates of specific points on the unit circle. **Sine likes $y$, and cosine likes $x$.** - +![image](./assets/sincoscirc.png) When sine is positive, the $y$ value is positive. When $x$ is positive, the cosine is positive. $$ cos(\theta) = x $$ @@ -15,7 +15,8 @@ $$ sin(\theta) = y $$ | ------ | --- | ------------------------------- | ------------------------------ | ------------------------------ | | Cosine | 1 | $\frac{\sqrt{3}}{2}$ | $\frac{\sqrt{2}}{2}$ | $0$ | | Sine | 0 | $\frac{1}{2}$ | $\frac{\sqrt{2}}{2}$ |
$1$ | -![image]() + +![image](./assets/unitcirc.png) ## 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. diff --git a/education/math/MATH1060 (trig)/assets/sincoscirc.png b/education/math/MATH1060 (trig)/assets/sincoscirc.png new file mode 100644 index 0000000..eab1b1a Binary files /dev/null and b/education/math/MATH1060 (trig)/assets/sincoscirc.png differ