# Trigonometric Functions Examples

#### Pythagorean Theorem

A long time ago, when philosophy ruled and Socrates drank hemlock, a brainiac named Pythagoras proved that for right triangles:a2 + b2 = c2Subsequent admirers and right-angle folks know this equa...

#### Trigonometric Ratios

Sin, Cos, TanWe've had our fun with triangles and legs, Pythagoras and his invention, and exponents and square roots. But seriously, that stuff isn't at the core of trig.Real trig rocks to the tune...

#### The Unit Circle

The unit circle sounds so techno—like moon unit or parental unit—but it's not. Really. It's just a simple little circle with a radius of 1. Here's what the unit circle looks like (we'll expla...

#### Periodic Functions

When a function has values that repeat and repeat over and over (like Macbeth and his obsession with tomorrow and tomorrow and . . .), it's a periodic function.Newsflash: all the trig functions...

#### Inverse Functions

Inverse trig functions are sort of like bizarro trig functions. They probably were meant to live in a parallel universe, but somehow they ended up here. Now we're stuck with them. We guess we sho...

#### Trigonometric Identities

Proving the Pythagorean IdentityRemember Pythagoras? You know...old...Greek...dead? The guy who loved triangles? The gentleman that came up with the Pythagorean Theorem? Yup, that's the one. Well,...