# Trigonometric Functions

# Trigonometric Functions Topics

#### Right Angle Trigonometry

We can use trig to slam-dunk the opposing team in basketball or do real damage to a tennis challenger in a singles match. We can figure out the ideal distance between the basket and the foul line b...

#### Reciprocal Trigonometric Functions

We've covered sine, cosine, and tangent. We're experts on one little piece of trigonometric real estate. (Marvin Gardens? Park Place? Boardwalk? Pull out your Monopoly money.) Kudos to you, but the...

#### The Unit Circle

The unit circle sounds so techno—like moon unit, parental unit—but it's not. Really. It's just a simple little circle with a radius of 1. What's the big deal?It's a useful unit, that's what....

#### 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.

#### 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 shoul...

#### Trigonometric Identities

Prove Pythagorean IdentityThe Pythagorean Identity states that sin2ɵ + cos2ɵ = 1 Remember Pythagoras? He's the old dead guy that loved triangles. From the figure below:Now, we can take this info...