- #1
hahaha158
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Homework Statement
I have the equation (sin(2x))/x = ?
The Attempt at a Solution
I know that the answer to this is 2, but I am not sure why (sin(2x))/x = 2
Can somone explain?
Thanks
hahaha158 said:Homework Statement
I have the equation (sin(2x))/x = ?
The Attempt at a Solution
I know that the answer to this is 2, but I am not sure why (sin(2x))/x = 2
Can somone explain?
Mark44 said:(sin(2x))/x ≠ 2, so perhaps you are leaving something out of the problem. What is the complete problem statement?
Mark44 said:The problem is really asking about limits, namely
$$ \lim_{x \to 0}\frac{sin(2x)}{x}$$
Do you know any other limits that involve trig functions?
Mark44 said:There are at least a couple of ways to go.
1) Double angle identity for sine
2) Adjust things so that you have sin(2x)/(2x) times some other stuff.
5ymmetrica1 said:(sin(2x))/ x = (sin2(1))/ 1
= sin(2)(1)/1
= sin(2)
= 0.0349
Yep, exactly! This would be the simplest way to do it, so if you ever get a question likehahaha158 said:For 2) do you mean like
(sin(2x))/2x)*2
=so you get 1*2
=2?
Would that work?
Sin is a concept that is not typically studied or defined in scientific research. It is a moral or ethical concept that is largely studied in theology and philosophy.
No, science is not equipped to study or prove moral or ethical concepts like sin. These are subjective concepts that vary across cultures and belief systems.
The relationship between sin and human behavior is a complex one that is still debated among philosophers and theologians. Some argue that sin is the cause of immoral behavior, while others believe that immoral behavior is a result of societal and environmental factors.
No, there are no scientific studies on the effects of sin as it is not a measurable or observable concept. However, there may be studies on the effects of unethical behavior or actions that are considered sinful by certain belief systems.
No, science does not have the capability to provide a solution for sin as it is a moral or ethical concept. Solutions for sin are typically addressed through religious or philosophical teachings and practices.