Trigonometry

Basic Concepts

Angles

§          Congruent Angles

§          Straight Angle

§          Right Angle

§          Acute Angle

§          Obtuse Angle

§          Reflex Angle

§          Angle of Depression

§          Angle of Elevation

§          Angle Addition Postulate

§          Protractor

§          Radians

                Coordinate System and 4 Quadrants

Triangles

                Types by Sides

§          Equilateral Triangles

§          Isosceles Triangles

§          Scalene Triangles

                Types by Angles

·          Right Triangles

·          Obtuse Triangles

·          Acute Triangles

·          Equiangular Triangles

Trigonometric Functions

                Congruence

·          Application of Congruence in Indirect Measurement

                Similarity

·          Similar Triangles

·          Application of Similar Triangles in Indirect Measurement

                Functions of Acute Angles

§          Sine (abbr. sin)

§          Cosine (abbr. cos)

§          Tangent (abbr. tan)

§          Cotangent (abbr. cotan or cot)

§          Cosecant (abbr. cosec or csc)

§          Secant (abbr. sec)

                Functions of General Angles

·          Reducing Functions of a General Angle to Functions of an Acute Angle

·          Functions of Negative Angles

                Tables of Trigonometric Functions

Trigonometry of Triangles

                Solving a Right Triangle

                Law of Cosines

                Law of Sines

                Solving General Triangles

                Checking Solutions: Mollweide Formulas

                Areas of Triangles: Heronīs Formula

Graphs of Trigonometric Functions

                Circular Functions

                Periodic Functions

                Graph of Sine

                Graph of Cosine

                Graph of Tangent

                Graph of Cotangent

                Graph of Secant

                Graph of Cosecant

Trigonometric Identities

                Fundamental Identities

                Addition Identities

                Double-Angle and Half-Angle Identities

                Tangent Identities

                Product-Sum and Sum-Product Identities

                Trigonometric Reduction Formulas

Inverse Functions

                Inverse Sine and Other Inverse Trigonometric Functions

                Graph of the Inverse Trigonometric Functions

                Trigonometric Equations

Additional Topics

                The Expression (A sin x + B cos x)

                Uniform Circular Motion

                Simple Harmonic Motion

Spherical Trigonometry