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 find the angle of inclination of a line.
How to use inverse trig functions to find angles in right triangles.
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).