How to evaluate expressions like tan(sin (4/5))^(-1).
How to find the length of tangent segments drawn to a circle from the same point.
How to determine whether two matrices are inverses.
How to graph the inverse of a function using points.
How to define the tangent ratio and identify the tangent of an angle in a right triangle.
How to graph y = tan(theta) for 0 <= theta < pi/2.
How to prove that an angle inscribed in a semicircle is a right angle; how to solve for arcs and angles formed by a chord drawn to a point of tangency.
How to graph y = tan(q) for one or more periods.
How to find the x-intercepts and vertical asymptotes of the graph of y = tan(q).
How to use inverses to define the logarithmic function.
How to define the properties of real numbers.