PREC-01 · Inverse Trigonometric Functions and Core Identities
Inverse trig functions, core identities, and the symbolic fluency needed for later analytic trigonometry.
32 questions
Curriculum
Precalculus
12 assignment sets and 384 questions are available here as downloadable worksheet sets.
PREC-02 · Advanced Identities and Trigonometric Equations
Verifying identities, sum-and-difference structure, multi-angle formulas, and solving trig equations.
32 questions
PREC-03 · Laws of Sines, Laws of Cosines, and Triangle Models
Non-right-triangle trigonometry, triangle area, and applied angle-side models.
32 questions
PREC-04 · Sinusoidal Modeling and Wave Behavior
Sinusoidal models, phase and amplitude reasoning, damped motion, and combining periodic waves.
32 questions
PREC-05 · Polar Coordinates and Polar Graphs
Polar representation, polar graphs, and translation between polar and rectangular viewpoints.
32 questions
PREC-06 · Complex Plane, De Moivre, and Nth Roots
Complex numbers in polar form, powers, roots, and De Moivre’s theorem.
32 questions
PREC-07 · Vectors in the Plane and in Space
Vector operations, vectors in space, and geometric interpretation.
32 questions
PREC-08 · Dot Product, Cross Product, and Geometric Applications
Vector products, orthogonality, projection, and applied vector reasoning.
32 questions
PREC-09 · Conics in Rectangular Coordinates and Rotation of Axes
Parabolas, ellipses, hyperbolas, general conic form, and rotation of axes.
32 questions
PREC-10 · Parametric Equations, Symmetric Equations, and Polar Conics
Parametric models, symmetric equations, and conics in alternate polar or parametric representations.
32 questions
PREC-11 · Sequences, Induction, and the Binomial Theorem
Arithmetic and geometric sequences, proof by induction, and binomial expansion.
32 questions
PREC-12 · Counting and Probability
Counting principles, permutations, combinations, and probability reasoning.
32 questions