Jump to content
Sign in to follow this  
NSX

Sin, cosine, tangent ratios

Recommended Posts

Who invented these ratios?

Share this post


Link to post
Share on other sites

Um, no one really invented them. trigonometry has certain relationships between angles and lengths in a right angled triangles (there are obviously god knows how many other situations which involve sin cos and tan but right angled triangles are the simplest application that comes to mind).

 

sin = opp/hyp

cos = adj/hyp

tan = opp/adj

 

Its just a ratio of lengths which are constant in a right angled triangle.

 

Sin Cos and Tan 'ratios' were determined not invented. They are mathematical functions which are used, not entities in their own right which were created. If your asking who specifically determined them then sorry, that escapes my memory at the moment. Anyone know? it wasnt Newton was it? His name comes to mind for some reason.

Share this post


Link to post
Share on other sites

trig functions are pretty much a core part of mathematics: you can't really get away from them. i don't think Newton invented the actual terms sine, cosine and tangent, but i think the names themselves were derived from the unit circle that can be drawn. i'm not exactly sure how they fit in though.

Share this post


Link to post
Share on other sites

basic trig must date back an extremely long time, arabic mathematics maybe? they invented most simple principles i believe.

Share this post


Link to post
Share on other sites
Originally posted by dave

trig functions are pretty much a core part of mathematics: you can't really get away from them. i don't think Newton invented the actual terms sine, cosine and tangent, but i think the names themselves were derived from the unit circle that can be drawn. i'm not exactly sure how they fit in though.

 

So the ratios were performed deductively, for an infinite amount of values? Until sufficient ratios & numbers were calculated?

Share this post


Link to post
Share on other sites
Originally posted by NSX

So the ratios were performed deductively, for an infinite amount of values? Until sufficient ratios & numbers were calculated?

 

What are you talking about?

Share this post


Link to post
Share on other sites
Originally posted by MrL_JaKiri

What are you talking about?

They said that noone invented the ratios...so I'm asking if someone, or a group of people sat down, and measured the figures of a unit circle according to different patterns of opposite / hypotoneuse, etc.

Share this post


Link to post
Share on other sites
Originally posted by NSX

They said that noone invented the ratios...so I'm asking if someone, or a group of people sat down, and measured the figures of a unit circle according to different patterns of opposite / hypotoneuse, etc.

 

You don't need to; you can get the trigonometric relationships without numbers, and you can then derive any value from the taylor series.

Share this post


Link to post
Share on other sites
Originally posted by MrL_JaKiri

you can then derive any value from the taylor series.

 

Right....:embarass:

hehe

 

Where do you learn this?

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now
Sign in to follow this  

×
×
  • Create New...

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.