Thursday, October 6, 2016

Trigonometric Table (46)

Trigonometric Table - Original & Digital

Trigonometric Table

Original Scanned Table

Original scanned trigonometric table
Original Scanned Trigonometric Table

Digitally Rendered Table (using MathJax)

$$ \begin{array}{|c|c|c|c|c|c|c|c|} \hline \textbf{Angle } (\theta) & \mathbf{0^\circ} & \mathbf{30^\circ} \left(\frac{\pi}{6}\right) & \mathbf{45^\circ} \left(\frac{\pi}{4}\right) & \mathbf{60^\circ} \left(\frac{\pi}{3}\right) & \mathbf{90^\circ} \left(\frac{\pi}{2}\right) & \mathbf{180^\circ} (\pi) & \mathbf{270^\circ} \left(\frac{3\pi}{2}\right) \\ \hline \sin \theta & 0 & \frac{1}{2} & \frac{1}{\sqrt{2}} & \frac{\sqrt{3}}{2} & 1 & 0 & -1 \\ \hline \cos \theta & 1 & \frac{\sqrt{3}}{2} & \frac{1}{\sqrt{2}} & \frac{1}{2} & 0 & -1 & 0 \\ \hline \tan \theta & 0 & \frac{1}{\sqrt{3}} & 1 & \sqrt{3} & \text{Undefined} & 0 & \text{Undefined} \\ \hline \csc \theta & \text{Undefined} & 2 & \sqrt{2} & \frac{2}{\sqrt{3}} & 1 & \text{Undefined} & -1 \\ \hline \sec \theta & 1 & \frac{2}{\sqrt{3}} & \sqrt{2} & 2 & \text{Undefined} & -1 & \text{Undefined} \\ \hline \cot \theta & \text{Undefined} & \sqrt{3} & 1 & \frac{1}{\sqrt{3}} & 0 & \text{Undefined} & 0 \\ \hline \end{array} $$

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