1
\begin{aligned}\sin\mathrm{\theta}&=\frac{\mathrm{P}}{\mathrm{H}}&\cos\mathrm{\theta}&=\frac{\mathrm{B}}{\mathrm{H}}&\tan\mathrm{\theta}&=\frac{\mathrm{P}}{\mathrm{B}}\\\cot\mathrm{\theta}&=\frac{\mathrm{B}}{\mathrm{P}}&\sec\mathrm{\theta}&=\frac{\mathrm{H}}{\mathrm{B}}&\cosec\mathrm{\theta}&=\frac{\mathrm{H}}{\mathrm{P}}\end{aligned}
2
\begin{aligned}\tan\mathrm{\theta}&=\frac{\sin\mathrm{\theta}}{\cos\mathrm{\theta}}\\\cot\mathrm{\theta}&=\frac{\cos\mathrm{\theta}}{\sin\mathrm{\theta}}\\\sec\mathrm{\theta}&=\frac{1}{\cos\mathrm{\theta}}\\\cosec\mathrm{\theta}&=\frac{1}{\sin\mathrm{\theta}}\end{aligned}
3
\begin{aligned}\sin^{2}\mathrm{\theta}+\cos^{2}\mathrm{\theta}&=1\\\sec^{2}\mathrm{\theta}-\tan^{2}\mathrm{\theta}&=1\\\cosec^{2}\mathrm{\theta}-\cot^{2}\mathrm{\theta}&=1\end{aligned}
4
\begin{aligned}\sin^{2}\mathrm{\theta}&=1-\cos^{2}\mathrm{\theta},&\cos^{2}\mathrm{\theta}&=1-\sin^{2}\mathrm{\theta}\\\sec^{2}\mathrm{\theta}&=1+\tan^{2}\mathrm{\theta},&\tan^{2}\mathrm{\theta}&=\sec^{2}\mathrm{\theta}-1\\\cosec^{2}\mathrm{\theta}&=1+\cot^{2}\mathrm{\theta},&\cot^{2}\mathrm{\theta}&=\cosec^{2}\mathrm{\theta}-1\end{aligned}
5
Angles: 0°, 30°, 45°, 60°, 90°, 180°sin: 0, 1/2, 1/√2, √3/2, 1, 0cos: 1, √3/2, 1/√2, 1/2, 0, −1tan: 0, 1/√3, 1, √3, undefined, 0cot: undefined, √3, 1, 1/√3, 0, undefinedsec: 1, 2/√3, √2, 2, undefined, −1cosec: undefined, 2, √2, 2/√3, 1, undefined