# Math, Trigonometry and Vectors

## Geometry

What is the angle $\beta$ equal to?

### Trig Definitions

Here's a familiar image.

This one might be a little less familiar, but the same rules apply.

### Inverse functions

We can also use the inverse trigonmetric functions.

It's 450 meters from the corner of Hamilton Place and Broadway to 142nd St and Broadway. It's 489 meters from the same corner to 142nd if you walk along Hamilton Place. a) What is the angle between Hamilton and Broadway?

### Pythagorean Theorem

We'll use this relationship all the time.

$$a^2 + b^2 = c^2$$.

It's 450 meters from the corner of Hamilton Place and Broadway to 142nd St and Broadway. It's 489 meters from the same corner to 142nd if you walk along Hamilton Place. b) How far is it from Broadway to Hamilton Pl. walking along 142nd St?

## Scalars and Vectors

These are two different mathematical or physical entities.

5. 0