Trigonometry/Functions/Table

Acute angles in right triangles

$\sin \theta =\frac{y}{r}=\frac{opp}{h}$

$\cos \theta =\frac{x}{r}=\frac{adj}{h}$

$\tan \theta =\frac{y}{x}=\frac{opp}{adj};(x\ne 0)$

$\csc \theta =\frac{r}{y}=\frac{h}{opp};(y\ne 0)$

$\sec \theta =\frac{r}{x}=\frac{h}{adj};(x\ne 0)$

$\cot \theta =\frac{x}{y}=\frac{adj}{opp};(y\ne 0)$

Angle values

θ	radians	sinθ	cosθ	tanθ	cotθ	secθ	cosecθ
0°	0	0	1	0	undefined	1	undefined
30°	π/6	1/2					2
45°	π/4			1	1
60°	π/3		1/2			2
90°	π/2	1	0	undefined	0	undefined	1
180°	π	0	-1	0	undefined	-1	undefined
270°	3π/2	-1	0	undefined	0	undefined	-1
360°	2π	0	1	0	undefined	1	undefined

Circular

$\sin s=y$

$\cos s=x$

$\tan s=\frac{y}{x}$