deletions | additions       diff --git a/subsection_Slope_Method_The_direct__.tex b/subsection_Slope_Method_The_direct__.tex  index e1c03d8..104a0f5 100644  --- a/subsection_Slope_Method_The_direct__.tex  +++ b/subsection_Slope_Method_The_direct__.tex 
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%We got 45 degrees after applying trigonometry to our previous fits since we used $cos$ function instead of $cos^2$ to fit our data in \ref{fig:directmethoddata}.   %which is the point of inflection on the $V$ vs $\theta$ graph.   %This value is consistent with the value we got when we set the second derivative of $\frac{V}{\theta}$ to zero (the inflection point).   To verify the value of the Verdet constant, we used a second method where the polarizer stayed at the angle of greatest sensitivity, which is 45 $45$  degrees after we applied trigonometry to our previous fits. We did this because we used $cos$ function instead of $cos^2$ to fit our data in Figure \ref{fig:directmethoddata}, but we will be expressing $V(\theta)$ in the form of $cos^2$ in the rest of our report. %We got the angle by setting the second derivative of $\frac{dV}{d\theta}$ to zero, which corresponds to the inflection point.  We then varied the current of the solenoid, going in 0.5A steps from $-3$A to $3$A, thereby varying the magnetic field within the solenoid between $-33.3$ mT and $+33.3$ mT. We could then graph voltage vs magnetic field, which results in a linear graph as shown in Figure \ref{fig:VB}. The slope of the graph is $\frac{dV}{dB}$. We calculated $\frac{dV}{d\theta}$ by taking the first derivative and setting angle to $45$ degrees as mentioned above, so we can find $\frac{dB}{d\theta}$ and therefore the Verdet constant. In the direct fit method, we estimated that we have an uncertainty of $0.05$ degrees for d$\theta$, and this uncertainty is associated with 45 degrees here since we applied trigonometry as aforementioned. By plugging in the maximum ($45.5$ degrees) and minimum ($44.5$ degrees) into our calculation, we are able to get the uncertainty for Verdet constant.