Weekend Wiki Party 8 - Trigonometry

This week our wiki project is to improve some of the trigonometry pages on the site. Thanks to your contributions from previous wiki weekend parties, we have collectively made hundreds of edits to wiki pages and helped Brilliant's 1,000,000+ FB followers learn, collaborate, and solve problems together!

To participate, just jump in and write something on one of the following pages, and then leave a comment to let us know that you contributed. To guide you in crafting the wikis, we have included section outlines, identities in need of proofs, and examples in need of solutions. We need your help to replace the many "???" throughout these wikis with your brilliant proofs and solutions. Or feel free to add a new section or submit your own example. Every contribution helps!

Thanks for your help!

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Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1 paragraph 2	paragraph 1 paragraph 2
`[example link](https://brilliant.org)`	example link
`> This is a quote`	This is a quote
# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"	# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

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I answered the unanswered questions in Basic Trigonometric Functions.

Omkar Kulkarni - 5 years, 1 month ago

I have an advice. Use degrees instead of radians. The page is for newbies who might not have studied about radians. Thanks. $\ddot\smile$

Pranjal Jain - 5 years, 1 month ago

Oh okay! Good suggestion, thanks.

Omkar Kulkarni - 5 years, 1 month ago

Thanks! Keep it up!

Victor Loh - 5 years, 1 month ago

sir, can we add wiki on INVERESE TRIGONOMETRY also???

Aditya Kumar - 5 years, 1 month ago

Sure. Add a wiki on any topic you like. $\ddot\smile$

Pranjal Jain - 5 years, 1 month ago

Yeah sure.....I'll collect all the required wikis for the topic and post it tomorrow

Aditya Kumar - 5 years, 1 month ago

@Aditya Kumar – Thanks! I look forward to reading your contributions :)

Calvin Lin Staff - 5 years, 1 month ago

@Calvin Lin – Sir, i've added a wiki. can u see if its fine

Aditya Kumar - 5 years, 1 month ago

There are already pages on inverse trigonometry, functions, identities and graphs(this one is empty). So you don't need to make new Wikis (unless it's a completely new subtopic you wanna write about), you can go through these and add any knowledge they lack.

Omkar Kulkarni - 5 years, 1 month ago

Is there a sum to product identity for $\tan x+\tan y$ ? The only one I can think of is $(\tan(x+y))(1-\tan x\tan y)$ , or maybe something like $\frac{\sin(x+y)}{\cos x\cos y}$ .

Oh, and, could someone please give me a link to the wiki from where I can start studying matrices? Can't find it. Thanks :)

Omkar Kulkarni - 5 years, 1 month ago

There isn't a "nice" version of it. Another way of writing it, where we only use $\tan$ , is $\tan x + \tan y = \tan ( x + y) ( 1 - \tan x \tan y )$ . Do you see how to get there from what you have?

We haven't started on the matrices skills as yet, because we rather focus on filling out existing areas first.

Calvin Lin Staff - 5 years, 1 month ago

That should be $\tan(x+\color{#D61F06}{y})(1-\tan x\tan y)$

Pranjal Jain - 5 years, 1 month ago

@Pranjal Jain – Thanks! fixed.

Calvin Lin Staff - 5 years, 1 month ago

Okay thanks! Yeah, I can get to the formula.

Omkar Kulkarni - 5 years, 1 month ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$