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!

Note by Calvin Lin
4 years, 5 months ago

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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.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. 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"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}

Comments

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I answered the unanswered questions in Basic Trigonometric Functions.

Omkar Kulkarni - 4 years, 5 months ago

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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 - 4 years, 5 months ago

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Oh okay! Good suggestion, thanks.

Omkar Kulkarni - 4 years, 5 months ago

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Thanks! Keep it up!

Victor Loh - 4 years, 5 months ago

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

Aditya Kumar - 4 years, 5 months ago

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

Pranjal Jain - 4 years, 5 months ago

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

Aditya Kumar - 4 years, 5 months ago

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

Calvin Lin Staff - 4 years, 5 months ago

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

Aditya Kumar - 4 years, 5 months ago

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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 - 4 years, 5 months ago

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Is there a sum to product identity for tanx+tany\tan x+\tan y? The only one I can think of is (tan(x+y))(1tanxtany)(\tan(x+y))(1-\tan x\tan y), or maybe something like sin(x+y)cosxcosy\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 - 4 years, 5 months ago

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There isn't a "nice" version of it. Another way of writing it, where we only use tan \tan , is tanx+tany=tan(x+y)(1tanxtany) \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 - 4 years, 5 months ago

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

Pranjal Jain - 4 years, 5 months ago

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@Pranjal Jain Thanks! fixed.

Calvin Lin Staff - 4 years, 5 months ago

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

Omkar Kulkarni - 4 years, 5 months ago

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