Trigonometry Practice Tests

Topics

• Trigonometry

  • Trigonometric Operations

    • Sin, Cos, Tan

    • Sec, Csc, Ctan

    • Arcsin, Arccos, Arctan

  • Angles

    • Complementary and Supplementary Angles

    • Coterminal Angles

    • Angles in Different Quadrants

    • Find all angles in a range given specific output

  • Unit Circle and Radians

    • Unit Circle

    • Radians and Conversions

    • Angles in the Unit Circle

  • Triangles

    • Right Triangles

      • Trigonometric Applications

      • 45-45-90 Triangles

      • 30-60-90 Triangles

      • Solving Word Problems with Trigonometry

      • Use Special Triangles To Make Deductions

    • Similar Triangles

      • Identifying Similar Triangles

      • Proportions in Similar Triangles

    • Law of Cosines and Law of Sines

      • Law of Cosines

      • Law of Sines

      • Ambiguous Triangles

    • Solving Triangles

      • Finding Angles

      • Finding Sides

    • Area of a Triangle

      • Find the Area of a Triangle Using Trigonometry

  • Trigonometric Equations

    • Understanding Trigonometric Equations

      • Setting Up Trigonometric Equations

      • Factoring Trigonometric Equations

    • Solving Trigonometric Equations

      • Systems of Trigonometric Equations

      • Finding Trigonometric Roots

      • Quadratic Formula with Trigonometry

  • Trigonometric Functions and Graphs

    • Trigonometric Functions

      • Trigonometric Functions

      • Simplifying Trigonometric Functions

      • Graphs of Inverse Trigonometric Functions

      • Solve a Trigonometric Function by Squaring Both Sides

      • Understand the Signs of the 6 Trigonometric Functions in Each Quadrant

      • Determine Which Values of Trigonometric Functions are Undefined

    • Trigonometric Graphs

      • Period and Amplitude

      • Phase Shifts

      • Graphing Sine and Cosine

      • Graphing Secant and Cosecant

      • Graphing Tangent and Cotangent

      • Determine Vertical Shifts

  • Trigonometric Identities

    • Basic and Definitional Identities

    • Pythagorean Identities

    • Complementary and Supplementary Identities

    • Identities with Angle Sums

    • Identities of Doubled Angles

    • Identities of Halved Angles

    • Identities of Squared Trigonometric Functions

    • Sum and Product Identities

    • Identities of Inverse Operations

    • Complete Basic Trigonometry Proofs

    • Apply Basic and Definitional Identities

  • Angle Applications

    • Angular Velocity

    • Area of a Sector

    • Arc Length

  • Practical Applications

    • Inclined Planes and Air Navigation

    • Vectors

    • Bearing

  • Sum, Difference, and Product Identities

    • Complete a Proof Using Sums, Differences, or Products of Sines and Cosines

    • Sum and Difference of Sines and Cosines

    • Product of Sines and Cosines

  • Complex Numbers/Polar Form

    • De Moivre's Theorem and Finding Roots of Complex Numbers

    • Polar Form of Complex Numbers

    • Complex Numbers