Need help determining whether to use cosine or sine

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Understanding when to use sine or cosine in physics problems involves recognizing the relationship between angles and the components of forces. The weight (mg) acts as the hypotenuse in a right triangle, with the cosine component (mgcosβ) representing the adjacent side and the sine component (mgsinβ) representing the opposite side. Visualizing the angle at zero helps clarify that the cosine component is maximum while the sine component is zero. Constructing a triangle with mg as the hypotenuse aids in determining which function to use based on the angle. This foundational understanding is crucial for solving problems involving inclined planes and forces.
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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
 
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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.
 
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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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