| \begin{aligned}\theta\end{aligned} | \begin{aligned}0^{\circ}\end{aligned} | \begin{aligned}30^{\circ}\end{aligned} | \begin{aligned}45^{\circ}\end{aligned} | \begin{aligned}60^{\circ}\end{aligned} | \begin{aligned}90^{\circ}\end{aligned} |
| sin\begin{aligned}\theta\end{aligned} | 0 | \begin{aligned}\frac{1}{2}\end{aligned} | \begin{aligned}\frac{1}{\sqrt{2}}\end{aligned} | \begin{aligned}\frac{\sqrt{3}}{2}\end{aligned} | \begin{aligned}1\end{aligned} |
| cos\begin{aligned}\theta\end{aligned} | 1 | \begin{aligned}\frac{\sqrt{3}}{2}\end{aligned} | \begin{aligned}\frac{1}{\sqrt{2}}\end{aligned} | \begin{aligned}\frac{1}{2}\end{aligned} | \begin{aligned}0\end{aligned} |
| tan\begin{aligned}\theta\end{aligned} | 0 | \begin{aligned}\frac{1}{\sqrt{3}}\end{aligned} | 1 | \begin{aligned}\sqrt{3}\end{aligned} | not defined |
