What is the relationship between trigonometry and physics?

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Discussion Overview

The discussion revolves around the relationship between trigonometry and physics, exploring how trigonometric concepts apply to various physical phenomena, particularly in kinematics and motion. Participants express their interest in understanding the foundational role of trigonometry in physics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants assert that trigonometry plays a significant role in physics, particularly in understanding angles and circles.
  • One participant suggests rephrasing the initial question to focus on the importance of angles and circles in physics, indicating that trigonometry helps convert these concepts into equations.
  • Another participant emphasizes that kinematics, which deals with motion, inherently involves angles, and thus trigonometry is essential for analyzing motion at various angles.
  • Specific examples are provided, such as calculating horizontal velocity in projectile motion using cosine and discussing the normal force in relation to angles.

Areas of Agreement / Disagreement

Participants generally agree on the importance of trigonometry in physics, particularly in relation to motion and angles. However, the discussion remains exploratory without a definitive consensus on the extent of its role.

Contextual Notes

Some assumptions about the foundational knowledge of trigonometry and physics may be present, but these are not explicitly stated. The discussion does not resolve the depth of understanding required for applying trigonometry in various physical contexts.

Who May Find This Useful

This discussion may be useful for students learning trigonometry and its applications in physics, as well as those interested in the foundational concepts of motion and angles in physical sciences.

Nano-Passion
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How big of a role does trigonometry play in physics?

I am learning trigonometry as of this instance and I'm finding it to be incredibly interesting and fascinating.
 
Physics news on Phys.org
huge, keep at it.
 
Perfection said:
huge, keep at it.

I am! Right now I am trying to completely master the basics and have complete understanding of it. I want to own it! I can't wait till I do, I'm excited haha.
 
Ask your question a different way: "How big a role do angles and circles play in physics".

The answer to that should be fairly obvious. Trig is a good way to turn angles and circles into equations.
 
AlephZero said:
Ask your question a different way: "How big a role do angles and circles play in physics".

The answer to that should be fairly obvious. Trig is a good way to turn angles and circles into equations.

Thanks, I've imagined a couple things such as spin states and knowing the angle of molecule. It really excited me to know what else it contributes to. I'm sure it does a tremendous amount.
 
Well put it this way. Kinematics, the most basic of physics, is the study of how things move. Trigonometry is the study of angles.

Any thing that moves, moves at an angle. Even if that angle is 0, it's still an angle.

Think about projectile motion. A projectile is shot at 10 m/s at a 30 degree angle. What is its horizontal velocity? Cos 30=vx/10 vx=10cos(30) vx=10(rt(3)/2) vx=5rt(3) m/s.

Also the normal force is mg(cosθ) When on a horizontal surface, cosθ=1, so Fn=mg. But if it's at a 60 degree angle, it's mg/2. As θ->90 Fn->0
 

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