Trigonometry/Functions/Table

Acute angles in right triangles

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

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

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

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

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

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

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

$\sin s=y$

$\cos s=x$

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