How to define periodic functions.
How to restrict the domain of sine so it will have an inverse function.
How to restrict the domain of cosine so it will have an inverse function.
How to restrict the domain of tangent so it will have an inverse function.
How to define the tangent function for all angles.
How to use inverse trig functions to find angles in right triangles.
How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.
How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions.
How to evaluate the tangent of 3*pi/4.
How to graph y = tan(theta) for 0 <= theta < pi/2.
How to find the x-intercepts and vertical asymptotes of the graph of y = tan(q).
How to evaluate expressions like tan(sin (4/5))^(-1).
How graph the cotangent function using five key points.
How graph the secant function using five key points.
How to describe the unit circle. How to draw the unit circle and label its parts. How to strategize about finding coordinates on the unit circle.
How to simplify square roots using two different methods.