Need help determining whether to use cosine or sine

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    Cosine Sine
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Discussion Overview

The discussion revolves around the use of sine and cosine in physics problems, particularly in the context of forces acting at an angle, such as gravitational force. Participants seek to clarify the conditions under which each function is applied, using examples and visual aids.

Discussion Character

  • Conceptual clarification, Technical explanation

Main Points Raised

  • One participant expresses confusion about when to use sine or cosine, specifically questioning why gravitational force is represented as mgcosbeta and mgsinbeta.
  • Another participant suggests visualizing the scenario with the angle set to 0, indicating that one function will yield 0 while the other will yield mg, implying a consistent relationship between the functions and the angle.
  • It is proposed that constructing a triangle with mg as the hypotenuse can help clarify the application of sine and cosine in these contexts.
  • A later reply reinforces that the weight must always be considered the hypotenuse, as it represents the largest force acting in the scenario.

Areas of Agreement / Disagreement

Participants appear to share a common understanding that visualizing the problem and constructing a triangle can aid in determining the appropriate use of sine and cosine, though specific interpretations of the functions' applications remain nuanced and not fully resolved.

Contextual Notes

Some assumptions about the angle and the configuration of forces may not be explicitly stated, and the discussion does not resolve the underlying conditions that dictate the use of sine versus cosine.

physicsnoob145
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I'm having trouble understanding when to use sine or cosine in my physics problems

for example I got this from one of the lectures off youtube
and I know why they are using sine and cos because it is at an angle but I'm rotating the angle to understand why it is mgcosbeta and why the other is mgsinbeta and not the other way around

could someone explain to me why it is mgcosbetahttp://img213.imageshack.us/img213/8798/91559741.png
 
Last edited by a moderator:
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physicsnoob145 said:
I'm having trouble understanding when to use sine or cosine in my physics problems

for example I got this from one of the lectures off youtube
and I know why they are using sine and cos because it is at an angle but I'm rotating the angle to understand why it is mgcosbeta and why the other is mgsinbeta and not the other way around

could someone explain to me why it is mgcosbeta
Visualize what it looks like when the angle is set to 0. One will be 0 and the other will be mg. The one that is 0 is sin and the one that is mg is cos. That will always work.
 
Last edited:
It helps to understand this if you construct a triangle with mg as the hypotenuse, then it becomes clear when to use sin or cosine.
 

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rcgldr said:
It helps to understand this if you construct a triangle with mg as the hypotenuse, then it becomes clear when to use sin or cosine.

thank you it is a little clearer now
 
Just as rcgldr has shown the weight must always be the hypotenuse as it is largest force acting.
 

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