Breaking Down Degrees: Is It Important?

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SUMMARY

The discussion centers on the importance of understanding the division of degrees into minutes and seconds, particularly in contexts like surveying and navigation. While the general use of degrees and radians suffices for most mathematical problems, grasping these subdivisions is crucial for specific applications. Participants recommend the book "Plane Trigonometry" by S.L. Loney for foundational knowledge and suggest "Gelfand's Trigonometry" for a deeper exploration of trigonometric concepts.

PREREQUISITES
  • Understanding of basic trigonometric concepts
  • Familiarity with degrees and radians
  • Knowledge of surveying and navigation principles
  • Basic mathematical proof techniques
NEXT STEPS
  • Study the concept of radians in depth
  • Explore the book "Plane Trigonometry" by S.L. Loney
  • Read "Gelfand's Trigonometry" for advanced trigonometric theories
  • Research applications of trigonometry in surveying and navigation
USEFUL FOR

Students of mathematics, particularly those studying trigonometry, educators seeking teaching resources, and professionals in fields requiring navigation or surveying skills.

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Homework Statement


The first chapter is talking about how they brake up a degree into minutes and minutes into seconds...
Is this concept important to understand. And how will it help me with other harder trig problems?


Homework Equations





The Attempt at a Solution

 
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Hi Miike012! :smile:
Miike012 said:
The first chapter is talking about how they brake up a degree into minutes and minutes into seconds...
Is this concept important to understand. And how will it help me with other harder trig problems?

It doesn't matter at all, except for surveying or navigation on the Earth's surface, or for measuring the positions of stars …

in most cases, we just use degrees or radians (perhaps you haven't done radians yet? :wink:) to the required number of decimal places.

But that won't help you if you're trying to navigate with a map marked in minutes and seconds, so yes you'd better understand it! :biggrin:
 
Havnt looked at it yet... but ill be on radians in the next two pages lol.. what is a radian?
 
If you don't understand it, then it is important that you learn it. If you already know and understand the concepts then it should be a piece of cake.

Now, what is your question?
 
Miike012 said:
Havnt looked at it yet... but ill be on radians in the next two pages lol.. what is a radian?

Ah … telling you that would spoil the surprise! :wink:
Integral said:
… it should be a piece of cake.

An angle is a piece of cake! :smile:
 
Well I guess I will just have to read and find out...

The book that I am reading from is called plane trig by s.l. loney...
I heard this book was a good book?
But what makes it better than another book? Does it go more indepth, or have more theorems?
 
If you really want to go in depth with trig i would recommend Gelfand's trigonometry once you get the basics down
 
Thank you... Do you know of a good indepth alg book...?
 

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