How to define the tangent function for all angles.
How to evaluate the tangent of 3*pi/4.
How to restrict the domain of tangent so it will have an inverse function.
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 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 inverse trig functions to find angles in right triangles.
How to find the angle of inclination of a line.
How to use the unit circle to derive the tangent identity and the Pythagorean identity.
How to evaluate expressions like tan(sin (4/5))^(-1).