Undergrad When is spherical trigonometry introduced and how does it apply to physics?

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SUMMARY

Spherical trigonometry is introduced in high school mathematics, particularly in 11th grade, and has significant applications in physics, especially in navigation. The versed sine formula, defined as versed sine = 1 - cos(θ), is a key concept, with the haversine formula being a practical application used for calculating distances on a sphere. Understanding these concepts is essential for students interested in physics and navigation. Resources such as S.L. Loney's trigonometry book provide foundational knowledge for beginners.

PREREQUISITES
  • Basic understanding of trigonometric functions
  • Familiarity with spherical geometry
  • Knowledge of navigation principles
  • High school mathematics background
NEXT STEPS
  • Research the haversine formula and its applications in navigation
  • Study spherical geometry concepts in detail
  • Explore physics applications of spherical trigonometry
  • Read S.L. Loney's trigonometry book for foundational knowledge
USEFUL FOR

Students in high school mathematics, physics enthusiasts, navigators, and anyone interested in the practical applications of spherical trigonometry.

parshyaa
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  • When do we learn about spherical trigonometry and what are its application(mostly in physics)
  • I have read a formula named versed sine = 1- cos(θ) in the trigonometry book by S.L loney, I tried it on google to know more about it and the research made me shocked, haversine(half of versed sine) formula is used for navigation, and it comes under spherical trigonometry, therefore I want to know more about it , I am in 11th grade, is there any friendly book on this topic which can be friendly for me. Thanks.
 
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parshyaa said:
  • When do we learn about spherical trigonometry and what are its application(mostly in physics)
  • I have read a formula named versed sine = 1- cos(θ) in the trigonometry book by S.L loney, I tried it on google to know more about it and the research made me shocked, haversine(half of versed sine) formula is used for navigation, and it comes under spherical trigonometry, therefore I want to know more about it , I am in 11th grade, is there any friendly book on this topic which can be friendly for me. Thanks.
I'm sure it very likely has practical applications but I swear, when I took it many years ago, I was CONVINCED that its primary application was to give me a headache.
 
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parshyaa said:
what are its application(mostly in physics)
We live on a sphere.
 
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