Trigonometric Functions and Vectors

Find its magnitude

Graph it directly

Change it to component form

Convert it to polar coordinates

(3, 0)

(1, 1)

(0, 0)

(3, 3)

A representation using angles

A representation using x and y coordinates

A representation using unit vectors

A representation using magnitude and direction

At the point (0, 3)

At the point (3, 3)

At the origin

At the point (3, 0)

It is a standard convention

It avoids negative coordinates

It makes the vector longer

It simplifies calculations

Sine

Cosine

Tangent

Cotangent

90 degrees

60 degrees

45 degrees

30 degrees

It is the angle where tangent equals one

It is the angle where sine equals one

It is the angle where tangent equals zero

It is the angle where cosine equals zero

3

1

9

0

30 degrees

45 degrees

60 degrees

90 degrees