Trigonometry with Analytic Geometry

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Select the number of each type of objective: (Selecting Random will randomly generate all subtypes) Click on any title to see the free sample worksheet. (only the first few samples are free) (Random) Review a. Defining Common Notation b. Identifying Field Properties c. Identifying Properties of Equality d. Identifying Reflexive, Symmetric and Transitive e. Filling in Reasons in Algebraic Proofs f. Doing Algebraic Proofs g. Classifying Triangles (by Sides or Angles) h. Using the Segment Addition Postulate i. Using the Angle Addition Postulate j. Writing Equations of Parallel Lines k. Writing Equations of Perpendicular Lines l. Identifying Parallel, Perpendicular, and Oblique from Equations m. Identifying Parallel, Perpendicular, and Skew n. Using Point, Line, and Plane Postulates o. Starting Proofs -- Give the Reason for the Conclusion p. Finding Area and Perimeter of Rectangles and Squares (Given Coordinates) q. Finding Area and Perimeter of Triangles (Given Coordinates) r. Finding Area and Circumference of Circles (Given Coordinates) (Random) Logic (Symbolic Form, Converse, etc.) a. Identifying Hypothesis and Conclusion (Easier) b. Identifying Hypothesis and Conclusion c. Finding Converse (Easier) d. Relating Biconditionals to Conditional Statements and their Converses e. Finding Converse, Inverse, Contrapositive, and Biconditionals (Easier) f. Finding Converse, Inverse, Contrapositive, and Biconditionals g. Finding a Counterexample (Easier) h. Finding a Counterexample i. Finding a Counterexample (From Algebra) j. Translating into Symbolic Form k. Translating from Symbolic Form l. Reading Venn Diagrams m. Identifying Union, Intersection, Complement, Etc. Venn Diagrams n. Using the Laws of Syllogism and Detachment o. Using Induction (Random) Transformations and Formulas a. Using the Distance Formula b. Using the Midpoint Formula c. Using the Formula for Slope d. Identifying Line Symmetry e. Identifying Rotational and Point Symmetry f. Identifying the Transformation (Rotation, Reflection, Translation, or Glide Reflection) g. Reflecting Twice h. Applying Rotations i. Applying Reflections j. Applying Translations (with Vectors) k. Composition of Transformations l. Applying Glide Reflections m. Classifying Frieze Patterns n. Finding the Minimum Distance between two Points Touching a Line (Random) Vertical Angles and Linear Pairs a. Identifying Complementary, Supplementary, and Congruent Angles b. Using Complementary, Supplementary, and Congruent Angles c. Using the Definition of Bisect d. Using the Vertical Angle Theorem e. Using the Linear Pair Postulate f. Using the Triangle Sum Theorem to Find Angle Measures g. Using the Exterior Angle Theorem to Find Angle Measures h. Finding Angle Measures (Combinations of the Above) (Random) Parallel Lines and Transversals a. Naming Angle Pairs when given Two Lines and a Transversal (does not include same side exterior) b. Naming Angle Pairs when given Two Lines and a Transversal (includes same side exterior) c. Identifying Angle Relationships when given Two Parallel Lines and a Transversal d. Deciding when Lines are Parallel Given Two Lines and a Transversal e. Finding the value of x to prove two Lines are Parallel f. Filling in Reasons for Proofs Involving Transversals g. Proofs Involving Transversals (Random) Congruence and Similarity a. Writing Congruence Statements for Triangles b. Using Triangle Congruence Theorems c. Filling in Reasons for Proving Triangles are Congruent d. Proving Triangles are Congruent e. Filling in Reasons when Using CPCTC in Proofs f. Using CPCTC in Proofs g. Proving Congruent with Coordinate Proofs h. Writing Similarity Statements and Statements of Proportion for Triangles i. Using Triangle Similarity Theorems j. Filling in Reasons when Proving Triangles are Similar k. Proving Triangles are Similar l. Finding the Scale Factor m. Using Proportions in Similar Triangles n. Word Problems with Similar Triangles (Random) Triangle Existence and Hinge Theorem a. Determining if a Triangle Exists b. Ordering Sides and Angles of a Triangle c. Word Problems d. Applying the Hinge Theorem (Random) Right Triangles and Trigonometry a. Finding the Geometric Mean b. Using the Pythagorean Theorem Converse (Classifying Triangles) c. Using Right Triangles with Altitudes d. Using Special Right Triangles e. Finding Trigonometric Functions from Triangles f. Solving Ratios with Trigonometric Functions g. Using Trigonometry (Sin, Cos, Tan) to find Side Lengths h. Using Inverse Trigonometric Functions (Sin^-1, Cos^-1, Tan^-1) to find Angles i. Solving Right Triangles j. Finding Area of Right Triangles (Uses Trig!) k. Using sin²(A) + cos²(A) = 1 l. Using sin(A) = cos(90°-A) (Random) Triangular and Circular Trigonometric Functions a. Finding Trigonometric Functions in a Triangle b. Finding Trigonometric Functions of an Angle c. Draw an angle in Standard Position d. Find the Reference Angle e. Given a Trigonometric Function, find all others f. Find Coterminal Angles g. Converting from Radians to Degrees h. Converting from Degrees to Radians i. Converting with Degrees, Minutes, and Seconds j. Angle Of Elevation/Depression Word Problems k. Finding Area of an Isosceles Triangle l. Finding Trigonometric Functions given coordinates on the Terminal side of an angle in Standard Position m. Finding Trigonometric Functions given coordinates on a Unit Circle n. Finding Trigonometric Functions of Special Angles (Degrees) o. Finding Trigonometric Functions of Special Angles (Radians) p. Applying the Unit Circle to find Domain/Range Even/Odd Period q. Relationships Between Trig Functions r. Finding Arc Length s. Finding Linear Speed & Angular Velocity t. Linear Speed and Angular Velocity Word Problems	(Random) Solving Triangles a. Solve Right Triangles b. Finding the Number of Solutions in A.S.S. Case c. Using Law of Sines d. Using Law of Cosines e. Finding Area using Sine f. Finding Area using Heron's Formula g. Word Problems (Random) Trigonometric Identities, Equations and Inverses a. Using Reciprocal Identities b. Using Pythagorean Identities c. Using Quotient Identities d. Using Sum and Difference Formulas e. Using Double Angle Formulas f. Using Half Angle Formulas g. Solving Trigonometric Equations with Restricted Domains h. Solving Trigonometric Equations with Infinite Solutions i. Finding Domain and Range of Trig and Inverse Trig Functions j. Using Inverse Functions k. Using Inverse Functions with Variables l. Solving Trigonometric Inequalities involving Sin/Cos/Tan (Random) Proving Trigonometric Identities a. Simplifying Pythagorean Identities b. Proving Pythagorean Identities c. Simplifying Basic Trigonometric Identities d. Proving Basic Trigonometric Identities e. Simplifying Harder Basic Trigonometric Identities f. Proving Harder Basic Trigonometric Identities g. Simplifying Identities involving CoFunction and Even/Odd h. Proving Identities involving CoFunction and Even/Odd i. Proving Identities involving Sum/Difference Formulas j. Proving Identities involving Double/Half Angle Formulas (Random) Graphs of Trigonometric Functions and Inverses a. Basic Facts and Graphs of parent Trigonometric Functions b. Determining Amplitude in Graph and Equation c. Writing Equations of Amplitude and Vertical Stretch Changes d. Sketching Graphs with Amplitude Changes, Vertical Stretches, and Vertical Flips e. Determining Period in Graph and Equation f. Writing Equations of Period Changes g. Sketching Graphs with Period Changes h. Determining Phase Shift in Graph and Equation i. Writing Equations of Phase Shift Changes j. Sketching Graphs with Phase Shift Changes k. Determining Vertical Shift in Graph and Equation l. Writing Equations of Vertical Shift Changes m. Sketching Graphs with Vertical Shift Changes n. Sketch the Graph of a Trigonometric Function o. Writing Equations of Trigonometric Functions From Graphs p. Graphing Cos/Sin by Chart q. Graphing Sec/Csc by Chart r. Graphing Tan/Cot by Chart s. Finding key values in Compound Trigonometric Functions t. Inverse Trigonometric Functions u. Using the Chart-- finding phase shift, period, vertical asymptotes, and domains v. Using the Chart-- finding vertical shift, amplitude, vertical stretch, and ranges (Random) Vectors a. Using Vector Notation b. Adding and Subtracting Vectors c. Finding the Dot Product d. Identifying Parallel Vectors e. Identifying Orthogonal Vectors f. Finding Magnitude of a Vector g. Finding the Direction (from the Horizontal) (Requires Trig!) h. Multiplying a Vector by a Constant i. Finding a Unit Vector j. Finding the Angle between Two Vectors k. Finding the Projection of One Vector Onto Another l. Finding the Cross Product m. Select Properties of the Cross Product n. Vector Word Problems (Random) Polar Functions a. Changing Points to Rectangular Form b. Changing Points to Polar Form c. Changing Equations to Rectangular Form d. Changing Equations to Polar Form e. Classifying Polar Equations f. Drawing Polar Equations g. Testing for Symmetry in Polar Equations (Random) Complex Numbers a. Writing a Complex Number in Trigonometric Form (and visa-versa) b. Multiplying and Dividing Complex Numbers c. Applying DeMoivre's Theorem d. Distance Between Complex Numbers e. Midpoint of Complex Numbers (Random) Parametric Equations a. Graphing Parametric Equations b. Eliminating Parameters to Convert Parametric Equations c. Creating Parametric Equations d. Finding Orientation of Parametric Equations e. Modeling Motion over Time Problems f. Solving Motion over Time Problems (Random) Conic Sections a. Graphing a Circle b. Graphing an Ellipse c. Graphing a Parabola d. Graphing a Hyperbola e. Identifying the Type of Conic from an Equation or a Picture f. Identifying the Type of Conic using the Discriminant g. Changing Equations to Standard Form (Completing the Square) h. Changing Equations to Standard Form (Another Method) i. Finding the Equation of a Circle Given 3 Points j. Focus and Directrix in a Parabola k. Finding the 2 Focus Points of an Ellipse l. Finding the 2 Focus Points of a Hyperbola
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