Master fundamental and advanced trigonometric concepts through this comprehensive video lecture series covering angles, degrees, special triangles, the rectangular coordinate system, and trigonometric functions. Learn to work with trigonometric identities, solve right triangles, and apply trigonometry to real-world problems. Explore the relationship between radians and degrees, understand circular functions, and calculate arc length and sector areas. Study graphing techniques including amplitude, reflection, period, and translations for various trigonometric functions. Develop skills in proving trigonometric identities and applying sum, difference, double-angle, and half-angle formulas. Solve trigonometric equations with single and multiple angles, and master the Law of Sines and Law of Cosines for triangle solutions. Investigate the ambiguous case (SSA) and learn vector operations including geometric and algebraic approaches plus dot products. Apply trigonometry to navigation problems and explore polar coordinates with their corresponding equations and graphs. Conclude with complex numbers, their trigonometric form, products and quotients using DeMoivre's Theorem, and methods for finding roots of complex numbers.

Syllabus

Trigonometry: Angles, Degrees, and Special Triangles (Section 1.1) | Math with Professor V
Trigonometry: The Rectangular Coordinate System (Section 1.2) | Math with Professor V
Trigonometry: Trigonometric Functions (Section 1.3) | Math with Professor V
Trigonometry: Introduction to Identities (Section 1.4) | Math with Professor V
Trigonometry: More on Identities (Section 1.5) | Math with Professor V
Trigonometry: Right Triangle Trigonometry (Section 2.1) | Math with Professor V
Trigonometry: Calculators & Trig Functions of an Acute Angle (Section 2.2) | Math w Professor V
Trigonometry: Solving Right Triangles (Section 2.3) | Math with Professor V
Trigonometry: Applications (Section 2.4) | Math with Professor V
Trigonometry: Reference Angles (Section 3.1) | Math with Professor V
Trigonometry: Radians & Degrees (Section 3.2) | Math with Professor V
Trigonometry: Circular Functions (Section 3.3) | Math with Professor V
Trigonometry: Arc Length & Area of a Sector (Section 3.4) | Math with Professor V
Trigonometry: Basic Graphs (Section 4.1) | Math with Professor V
Trigonometry: Amplitude, Reflection & Period/Vertical & Horizontal Translations (Sections 4.2 & 4.3)
Trigonometry: Other Trigonometric Functions (Section 4.4) | Math with Professor V
Trigonometry: Finding an Equation from its Graph (Section 4.5) | Math with Professor V
Trigonometry: Inverse Trigonometric Functions (4.7) | Math with Professor V
Trigonometry: Proving Identities (Section 5.1) | Math with Professor V
Trigonometry: Sum and Difference Formulas Part 1 (Section 5.2) | Math with Professor V
Trigonometry: Sum and Difference Formulas Part 2 (Section 5.2) | Math with Professor V
Trigonometry: Double Angle Formulas Part 1 (Section 5.3) | Math with Professor V
Trigonometry: Double Angle Formulas Part 2 (Section 5.3) | Math with Professor V
Trigonometry: Half-Angle Formulas (Section 5.4) | Math with Professor V
Trigonometry: Trigonometric Equations (Section 6.1) | Math with Professor V
Trigonometry: More on Trig Equations, Equations w Multiple Angles (Sections 6.2 & 6.3) | Professor V
Trigonometry: The Law of Sines & The Ambiguous Case (Sections 7.1 & 7.3) | Math with Professor V
The Ambiguous Case (SSA) | Easy Explanation - How Many Triangles? | Math with Professor V
Trigonometry: The Law of Cosines (Section 7.2) | Math with Professor V
Trigonometry: Vectors-A Geometric and Algebraic Approach (Sections 2.5/7.5) | Math with Professor V
Trigonometry: Vectors-The Dot Product (Section 7.6) | Math with Professor V
Navigation Problems | Math with Professor V
Trigonometry: Polar Coordinates (Section 8.5) | Math with Professor V
Polar Equations & Graphs (Trigonometry/Precalculus) | Math with Professor V
Trigonometry: Complex Numbers (Section 8.1) | Math with Professor V
Trigonometry: The Trigonometric Form of Complex Numbers | Math with Professor V
Trigonometry: Products & Quotients in Trig Form/DeMoivre’s Theorem (Section 8.3)| Math w Professor V
Trigonometry: Roots of a Complex Number (Section 8.4) | Math with Professor V