Question 898023: I am using trig functions for my physics course. I need to find the value of theta, knowing that tan(theta)=0.5, where 0.5 is the coefficient of friction. I attempted to work backwards. I stopped after reaching that tan(theta)=sin(theta)/cos(theta)=[N*(coefficient of static friction)=m*g*sin(theta)]/[N=m*g*cos(theta)]. I searched for methods to solve for theta; I found the answer, 26.6 degrees, but I want to know how to work it out.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I am using trig functions for my physics course. I need to find the value of theta, knowing that tan(theta)=0.5, where 0.5 is the coefficient of friction. I attempted to work backwards. I stopped after reaching that tan(theta)=sin(theta)/cos(theta)=[N*(coefficient of static friction)=m*g*sin(theta)]/[N=m*g*cos(theta)]. I searched for methods to solve for theta; I found the answer, 26.6 degrees, but I want to know how to work it out.
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We used to use trig tables but now we use technology (calculators, or software)
Google will give you the answer if you want to go that route.
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Using my TI-84+ I get tan^-1(0.5) = 26.57 degrees
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Cheers,
Stan H.
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