How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.
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 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 to solve a sine equation by factoring: 4 [sin(theta)]^2 = 2.
How to derive the cosine of a difference formula.
How do we measure sine and cosine of pi/4?
How to evaluate expressions like tan(sin (4/5))^(-1).
How to convert a polar equation into rectangular form.
How to measure the sine and cosine of 150.