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\neq0)

\csc\theta=\frac{r}{y}=\frac{h}{opp} ;(y\neq0)

\sec\theta=\frac{r}{x}=\frac{h}{adj} ;(x\neq0)

\cot\theta=\frac{x}{y}=\frac{adj}{opp} ;(y\neq0)

Angle values

θ	radians	sinθ	cosθ	tanθ	cotθ	secθ	cscθ
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

$\sin s=y$

$\cos s=x$

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

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