Chapter 1

p.3 Work with functions that are defined graphically, algebraically, numerically, or verbally.
p.7 Make connections among the algebraic equation for a function, its name, and its graph.
p.15 Transform a given pre-image function so that the result is a graph of the image function that has been dilated by given factors and translated by given amounts.
p.22 Given two functions, graph and evaluate the composition of one function with the other.
p.33 Given a function, find its inverse relations, and tell whether or not the inverse relation is a function.
p.42 Given a function, transform it by reflection and by applying absolute value to the function or its argument.
p.50 Start writing a journal in which you can record things you have learned about precalculus mathematics and questions you have concerning concepts about which you are not quite clear.

Chapter 2

p.61 Find the function that corresponds to the graph in Figure 2-1b and graph it on your grapher.
p.67 Extend the definitions of sine and cosine for any angle.
p.73 Be able to find values of the six trigonometric functions approximately, by calculator, for any angle and exactly for certain special angles.
p.80 Given two sides of a right triangle or a side and an acute angle, find measurements of the other sides and angles.

Chapter 3

p.95 Learn the meanings of amplitude, period, phase displacement, and cycle of a sinusoidal graph.
p.96 Given any one of these sets of information about a sinusoid, find the other two:

• the equation
• the graph
• the amplitude, period or frequency, phase displacement, and sinusoidal axis.

p.106 Plot the graphs of the tangent, cotangent, secant, and cosecant functions, showing their behavior when the function value is undefined.
p.111 a. Given an angle measure in degrees, convert it to radians, and vice versa.
          b. Given angle measure in radians, find trigonometric function values.
p.117 Learn about the circular functions and their relationship to trigonometric functions.
p.125 Given the equation of a circular function or trigonometric function and a particular value of y, find specified values of x or.
p.130 Given a verbal description of a periodic phenomenon, write an equation using the sine or cosine function and use the equation as a mathematical model to make predictions and interpretations about the real world.

Chapter 4

p.157 Investigate the sum of the squares of the cosine and sine of the same argument.
p.159 Derive algebraically three kinds of properties expressing relationships among trigonometric functions.
p.163 Given a trigonometric expression, transform it into an equivalent form that is perhaps simpler or more useful.
p.168 Find algebraically or numerically the solutions to equations involving circular or trigonometric sines, cosines, and tangents of one argument.
p.176 Given equations of a parametric function, plot the graph and make conclusions about the geometrical figure that results.
p.184 a. Plot graphs of inverse trigonometric functions and relations.
          b. Find exact values of functions of inverse trigonometric functions.

Chapter 5

• f (–x) in terms of f (x)
• f (900 – ) in terms of functions of , or f (– x) in terms of functions of x
• f (A + B) and f (A – B) in terms of functions of A and functions of B.

p.214 a. Given two sinusoids, form a new graph by adding or multiplying ordinates (y-coordinates).
          b. Given a graph formed by adding or multiplying two sinusoids, find the equations of the two sinusoids.
p.224 Transform a sum of two sinusoids into a product of two sinusoids, and vice versa.
p.231 a. Prove that a product of sinusoids with equal periods is also a sinusoid.
          b. Derive properties for cos 2A, sin 2A, and tan 2A in terms of functions of A.
          c. Derive properties for cos A, sin A, and tan A in terms of functions of A.

Chapter 6
p.249 Given two sides and the included angle of a triangle, find by direct measurement the third side of the triangles.
p.250 a. Given two sides and the included angle of a triangle, derive and use the law of cosines for finding the third side.
          b. Given three sides of a triangle, find an angle.
p.255 Given the measures of two sides and the included angle, find the area of the triangle.
p.259 Given the measure of an angle, the length of the side opposite this angle, and one other piece of information about a triangle, find the other side lengths and angle measures.
p.263 Given two sides of a triangle and a non-included angle, calculate the possible lengths of the third side.
p.267 Given two vectors, add them to find the resultant vector.
p.274 Given a real-world problem, identify a triangle, and use the appropriate technique to calculate unknown side lengths and angle measures.