How to define periodic functions.
How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions.
How to graph y = tan(theta) for 0 <= theta < pi/2.
How graph the cotangent function using five key points.
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 the values of A and B affect the shape of the graph y = A sin(Bx).
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 define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.
How graph the secant function using five key points.
How to evaluate the tangent of 3*pi/4.
How to evaluate expressions like tan(sin (4/5))^(-1).
How to derive the cosine of a difference formula.
How to derive the sine of a sum formula.
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 derive the equation for a circle using the distance formula.