How to create the different conic sections.
How to identify a conic section by its formula.
How to define the tangent function for all angles.
How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.
How to define a secant; how to find the length of various secants in circles.
How to define a tangent line; how to determine the angle a radius to a tangent forms.
How to define arc length and how it is different from arc measure; how to calculate the length of an arc.
How to define the apothem and center of a polygon; how to divide a regular polygon into congruent triangles.
How to calculate the volume of any cylinder.
How do we measure sine and cosine of pi/4?
How to solve a sine equation by factoring: 4 [sin(theta)]^2 = 2.
How to derive the cosine of a difference formula.
How to measure the sine and cosine of 150.
How to evaluate expressions like tan(sin (4/5))^(-1).
How to convert a polar equation into rectangular form.