User:J Hill/Sandbox

Trigonometric functions


P($$\sin t \,\!$$, $$\cos t \,\!$$) or P(x, y)

$$\sin t = y \,\!$$

$$\cos t = x \,\!$$

$$\tan t = \frac{\sin t}{\cos t} = \frac{y}{x} \,\!$$

$$\cot t = \frac{\cos t}{\tan t} = \frac{x}{y} \,\!$$

$$\sec t = \frac{1}{\cos t} = \frac{1}{x} \,\!$$

$$\csc t = \frac{1}{\sin t} = \frac{1}{y} \,\!$$

period
A function is periodic iff. $$ f(x+c) = f(x) \,\!$$

Pythagorean Identities
$$\sin^2 x + \cos^2 x = 1 \,\!$$

$$1 + \cot^2 x = \csc^2 x \,\!$$

$$1 + \tan^2 x = \sec^2 x \,\!$$