Activity for Wolgwangâ€
| Type | On... | Excerpt | Status | Date |
|---|---|---|---|---|
| Edit | Post #282604 |
Post edited: Inserted text and MathJax from the images for better look and search efficiency |
— | over 2 years ago |
| Edit | Post #282603 |
Post edited: Inserted text and MathJax from the images for better look and search efficiency |
— | over 2 years ago |
| Edit | Post #282888 |
Post edited: Inserted text and MathJax from the images for better look and search efficiency |
— | over 2 years ago |
| Edit | Post #281008 |
Post edited: Mathjax error fixed |
— | over 2 years ago |
| Edit | Post #282889 |
Post edited: Inserted text and MathJax from the images for better look and search efficiency |
— | over 2 years ago |
| Edit | Post #282614 |
Post edited: Mathjax error fixed |
— | over 2 years ago |
| Comment | Post #282564 |
@#36356 Can you review the suggested edits? (more) |
— | over 2 years ago |
| Edit | Post #283403 |
Post edited: Added reference. |
— | over 2 years ago |
| Edit | Post #283403 | Initial revision | — | over 2 years ago |
| Answer | — |
A: How can I intuit $\dfrac{a - b}{c - d} \equiv \dfrac{{\color{red}{-}}(b - a)}{{\color{red}{-}}(d - c)} \equiv \dfrac{b - a}{d - c}$? (1) $$\dfrac{a - b}{c - d}$$ Image 1 As the image depicts, $(a - b)$ means $a$ steps forward and $b$ steps backward which results in net $(a - b)$ steps, and dividing it by $(c - d)$ gives the number of steps (of length $(c - d)$) in $(a - b)$. Intuitive Meaning of Division can be found her... (more) |
— | over 2 years ago |
| Comment | Post #283372 |
Does [this](https://math.codidact.com/uploads/Axsct6ZVD8WyMYdEtAp3unHV) help? This explains $\dfrac{a - b}{c - d} \equiv \dfrac{{\color{red}{-}}(b - a)}{{\color{red}{-}}(d - c)}$ and the third part can be explained by just reversing the direction(that is by using negative) x-axis. I will try writing ... (more) |
— | over 2 years ago |
| Comment | Post #278772 |
For future readers: If you want to quote Mathjax input that requires `<p>`, you can use `<blockquote>` to quote it. (more) |
— | over 2 years ago |
| Suggested Edit | Post #283184 |
Suggested edit: Typo fixed (more) |
helpful | over 2 years ago |
| Comment | Post #278337 |
@#8106 Can I replace the 'ugly sketch' with [this](https://math.codidact.com/uploads/Qtbosi4hP68anD4pmtAS8Mwu) ?
(more) |
— | over 2 years ago |
| Edit | Post #283182 |
Post edited: Format improved |
— | over 2 years ago |
| Edit | Post #283182 | Initial revision | — | over 2 years ago |
| Answer | — |
A: Prove $(\cos^3\theta+\sin^3\theta)^2= \cos^6\theta(1+\tan^3\theta)^2$ Simplifying $LHS$: \begin{align} (\cos^3\theta+\sin^3\theta)^2&=\cos^6\theta+\sin^6\theta+2\cos^3\theta\sin^3\theta\\&=\cos^6\theta\bigg(1+\dfrac{\sin^6\theta}{\cos^6\theta}+2\dfrac{\cos^3\theta\sin^3\theta}{\cos^6\theta}\bigg)\\&=\cos^6\theta(1+\tan^6\theta+2\tan^3\theta)\\&=\cos^6\theta[1^2+(... (more) |
— | over 2 years ago |
| Suggested Edit | Post #282614 |
Suggested edit: Mathjax error fixed (more) |
helpful | over 2 years ago |
| Suggested Edit | Post #282889 |
Suggested edit: Inserted text and MathJax from the images for better look and search efficiency (more) |
helpful | over 2 years ago |
| Suggested Edit | Post #281008 |
Suggested edit: Mathjax error fixed (more) |
helpful | over 2 years ago |
| Suggested Edit | Post #282888 |
Suggested edit: Inserted text and MathJax from the images for better look and search efficiency (more) |
helpful | over 2 years ago |
| Suggested Edit | Post #282603 |
Suggested edit: Inserted text and MathJax from the images for better look and search efficiency (more) |
helpful | over 2 years ago |
| Suggested Edit | Post #282604 |
Suggested edit: Inserted text and MathJax from the images for better look and search efficiency (more) |
helpful | over 2 years ago |
| Comment | Post #278772 |
@#53196 How to type `<p>$$123 \\ 321$$</p>` ? It gives [this](https://math.codidact.com/uploads/knNFBUYXfU5qm8WhiJ7jj2ad) instead of [this](https://math.codidact.com/uploads/piG51rzyEqCTafGUgnmuAWcw). (more) |
— | over 2 years ago |
| Comment | Post #278772 |
@#53196 Thanks :-) That works. Can you please include this in your answer also? (more) |
— | over 2 years ago |
| Comment | Post #278772 |
@#53196 I have created a new thread. (more) |
— | over 2 years ago |
| Comment | Post #278772 |
Instead of giving [this](https://cdn.discordapp.com/attachments/709569625029083147/872507211375591494/unknown.png) it is giving [this](https://cdn.discordapp.com/attachments/709569625029083147/872507105578455110/unknown.png) (more) |
— | over 2 years ago |
| Comment | Post #278772 |
`\begin{array}{l}
P \text { (both girls, at least one winter girl })&=P \text { (both girls, at least one winter child) }\\
&=(1 / 4) P(\text { at least one winter child }) \\
&=(1 / 4)(1-P(\text { both are non-winter })) \\
&=(1 / 4)\left(1-(3 / 4)^{2}\right)
\end{array}`
This code is giving m... (more) |
— | over 2 years ago |
| Comment | Post #278772 |
Nothing seems to work :-( I am trying to create new line in `array` and `align` environment. (more) |
— | over 2 years ago |
| Comment | Post #283110 |
@#53628 Can you please post text and Mathjax instead of the picture? It looks nice and can be searched easily. You can also use software like [Mathpix](https://mathpix.com/) or any other similar software for extracting text and LaTeX from an image. :-) (more) |
— | over 2 years ago |
| Edit | Post #282771 |
Post edited: Inserted text and MathJax from the images for better look and search efficiency |
— | over 2 years ago |
| Suggested Edit | Post #282771 |
Suggested edit: Inserted text and MathJax from the images for better look and search efficiency (more) |
helpful | over 2 years ago |
| Comment | Post #282702 |
Check [SL Loney's book](https://books.google.co.in/books/about/Plane_Trigonometry.html?id=BhgzAQAAMAAJ&source=kp_book_description&redir_esc=y). It contains simple geometrical derivations of these formulae. (more) |
— | over 2 years ago |