Precalculus Manual - Revised

This page provides the Precalculus manual for the classroom - all chapters of the manual are provide as free downloads. This section represents a complete high school course for Precalculus. YouTube videos are also free and they cover the classwork section of the manual.


Note: If you want the new AP Precalculus course, use this link: 

Purchase the Solution Manual
Only $99.95
(for download) 
  Purchase options.
Student Manual in printed form.
Only $39.95
(plus $12 shipping)
  Purchase options.
Solution Manual in printed form.
Only $119.95
(plus $12 shipping)
  Purchase options.

Answers (only) to HW (for download) - NEW

Only $10.95

 Purchase options.


Sometimes teachers want students to have the ability to check their homework aswers before coming to class. The above option gives answers only (no work shown). Teachers can make this available to students and perhaps save time in class the next day as students will only ask questions on problems in which they know they got incorrect.
We provide discounts for ordering certain products together and we provide other purchasing options.  Click here for more information about these options.
Topic (Click to download) Description Free Youtube Videos

Student Manual Cover Pages 
(PreCalc Manual Cover.pdf)


These pages should be included at the beginning of the Student Manual.  
Unit 1 Revised 9/21
Radian and Degree Measurement 
(Unit1.pdf) - 1.3 mb

10 pages - Topics: radians, degrees, revolutions, arc length, variable conversion, angular velocity, linear velocity

Video 01 Angle Measurement

58.12 minutes

Unit 2 - revised 9/21
The Trigonometric Functions 
(Unit2.pdf) - 2.8 mb
13 pages - Topics: Basic trig functions, quadrant angles, special angles, domain and range, co-terminal angles, reference angles

Video 02 - Trig Functions

1 hour, 16 minutes

Unit 3 - revised 10/21
Right Angle Trigonometry
(Unit3.pdf) - 2 mb
16 pages - Topics: unit circle, calculator use, errors, solving right triangles, multi-step problems, real-life applications, surveying, angles of elevation and depression, bearing, heading, triangulation

Video 03a - Solving Right Triangles

1 hour, 3 min


Video 03b - Trig Applications

52.05 min

Unit 4 - revised 10/21
15 pages - Topics: sinusoids, amplitude, period, translations, phase shift, vertical shift, critical points, determining an equation from a graph, trig models, harmonic motion, graph of other trig functions

Video 04a - Graphs of Trig Functions

1 hour, 5.19 minutes


Video 04b - Graphs of Trig Functions (cont'd)

48.19 min

Unit 5 - revised 11/21
Analytical Trigonometry       
(Unit5.pdf) 2.4 mb
15 pages - Topics: fundamental trig identities, solving trig identities, sum and difference formulas, double angle formulas, reduction formullas, half angle formulas, solving trig equations

Video 05a - Trig Identities

33.38 min

Video 05b - Other Identities  (cont'd)

1 hour, 7 min


Unit 6
Solving Oblique Triangles     
(Unit6.pdf) 3.4 mb
19 pages - Topics: oblique triangles, law of sines, law of cosines, Heron's formula, applications of oblique triangles

Video 06a - Law of Sines

52.11 minutes

Video 06b - Law of Cosines

1 hour, 2.26 minutes

Unit 7
Graphs and Graphing Utilities 
(Unit7.pdf) 7.4 mb
31 pages - Topics: graphing equations, symmetry, lines in the plane, functions, mappings, domain and range, piecewise functions, translation of graphs, composition of functions, inverse functions  
Unit 8
41 pages - Topics: quadratic functions, standard form, general form, roots of polynomial equations, linear functions, quadratic equation, cubic functions, factor theorem, roots of polynomials, synthetic division, rational zero test, imaginary roots, rational functions, vertical asymptotes, oblique asymptotes, partial fraction decomposition  
Unit 9
32 pages - Topics: exponential equations, common logarithms, natural logarithms, e, logarithm rules, logarithmic equations, exponential growth and decay, compound interest, continuous compounding, exponential curve fitting, using the calculator for financial operations  
Unit 10
(Unit10.pdf) - 5 mb
20 pages - Topics: plane curves, parametric curve sketching, conversion of parametric form to rectangular form, projectile motion, polar coordinates, graphs of polar equations, classifying polar graphs  
Unit 11
Additional Topics in Trigonometry 
(Unit11.pdf) 2.8 mb
18 pages - Topics: vectors and scalars, vector operations, unit vectors, linear combination form of vectors, force problems, dot product, angle between vectors, complex numbers, trig form of a complex number, multiplication and division of complex numbers, powers and roots of complex numbers, Demoive's Theorem  
Unit 12
18 pages - Topics: inclination of a line, angle between lines, distance between a point and a line, conic sections, circles, parabolas, ellipses, hyperbolas, degenerate conics, determining a conic from its general equations  



Purchase the Answer Key!
Only $99.95
(for download) 
  Purchase options.
Full Manual in printed form.
Only $39.95
(plus $12 shipping)
  Purchase options.
Answer Key in printed form.
Only $119.95
(plus $12 shipping)
  Purchase options.


We provide discounts for ordering certain products together and we provide other purchasing options.  Click here for more information about these options.
Click HERE to access the downloads for a previous purchase 
(must be within 7 days of original purchase)