The definition of the unit system and common prefixes.
How to use and convert scientific units.
How to express a vector algebraically in terms of the unit vectors i and j.
How to describe the unit circle. How to draw the unit circle and label its parts. How to strategize about finding coordinates on the unit circle.
Definitions and notation of ratios, and when we use them
How to use the unit circle to derive the tangent identity and the Pythagorean identity.
How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions.
How to graph y = tan(theta) for 0 <= theta < pi/2.
How we define sine and cosine for all angle measures using the unit circle.
How to define the tangent function for all angles.
How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.