vault backup: 2024-09-13 16:23:00

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zleyyij 2024-09-13 16:23:00 -06:00
parent 3b4787f4c4
commit d5fbb8d908
4 changed files with 5 additions and 3 deletions

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.obsidian/app.json vendored
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@ -8,5 +8,6 @@
"downscalePercent": 100 "downscalePercent": 100
}, },
"spellcheck": true, "spellcheck": true,
"focusNewTab": false "focusNewTab": false,
"alwaysUpdateLinks": true
} }

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@ -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 and cosine can be used to find the coordinates of specific points on the unit circle.
**Sine likes $y$, and cosine likes $x$.** **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. When sine is positive, the $y$ value is positive. When $x$ is positive, the cosine is positive.
$$ cos(\theta) = x $$ $$ cos(\theta) = x $$
@ -15,7 +15,8 @@ $$ sin(\theta) = y $$
| ------ | --- | ------------------------------- | ------------------------------ | ------------------------------ | | ------ | --- | ------------------------------- | ------------------------------ | ------------------------------ |
| Cosine | 1 | $\frac{\sqrt{3}}{2}$ | $\frac{\sqrt{2}}{2}$ | $0$ | | Cosine | 1 | $\frac{\sqrt{3}}{2}$ | $\frac{\sqrt{2}}{2}$ | $0$ |
| Sine | 0 | $\frac{1}{2}$ | $\frac{\sqrt{2}}{2}$ | <br>$1$ | | Sine | 0 | $\frac{1}{2}$ | $\frac{\sqrt{2}}{2}$ | <br>$1$ |
![image]()
![image](./assets/unitcirc.png)
## The Pythagorean Identity ## 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. The Pythagorean identity expresses the Pythagorean theorem in terms of trigonometric functions. It's a basic relation between the sine and cosine functions.

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