Professor Leonard Courses

Introduction to Using Trigonometric Identities - Precalculus - Trigonometry

Explore basic trigonometric identities including Pythagorean, reciprocal, and even/odd identities. Learn how to apply these fundamental concepts in trigonometry and precalculus.

• YouTube
• 24 minutes
• Self-Paced
• Free Video

How to Solve Trigonometric Equations - Precalculus - Trigonometry

In-depth exploration of solving trigonometric equations without inverse functions, focusing on unit circle relationships and practical problem-solving techniques.

• YouTube
• 1 hour 35 minutes
• Self-Paced
• Free Video

An Indepth Look at Using Inverse Trig Functions - Precalculus - Trigonometry

Comprehensive exploration of inverse trigonometric functions, their relationship with basic trig functions, and practical applications in precalculus and trigonometry.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

How to Find Inverse Trigonometric Functions - Precalculus - Trigonometry

Learn to find inverse trigonometric functions, including their domains and ranges, through a clear, step-by-step approach.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

How to Use Inverse Trigonometric Functions - Precalculus - Trigonometry

Explore inverse trigonometric functions, their relationship to basic trig functions, and understand their domain and range in this comprehensive tutorial.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

How to Graph Phase Shifts of Trigonometric Functions - Precalculus - Trigonometry

Learn to perform horizontal shifts on trigonometric functions, focusing on sine and cosine. Master phase shifts and horizontal translations applicable to all trig functions.

• YouTube
• 38 minutes
• Self-Paced
• Free Video

How to Graph Cosecant and Secant - Precalculus - Trigonometry

Explore graphing secant and cosecant functions, their relationships with sine and cosine, and learn about function transformations in trigonometry.

• YouTube
• 30 minutes
• Self-Paced
• Free Video

Graphing Transformations with Tangent and Cotangent - Precalculus - Trigonometry

Explore graphing techniques for tangent and cotangent functions, including vertical translation, amplitude, reflection, and period manipulation in trigonometry.

• YouTube
• 41 minutes
• Self-Paced
• Free Video

Graphing Transformations with Sine and Cosine - Precalculus - Trigonometry

Learn to graph sine and cosine functions with various transformations, mastering vertical shifts, stretches, and reflections for a solid foundation in trigonometry.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Pythagorean Identities for Trigonometric Functions

Explore even, odd, and Pythagorean identities in trigonometry, their origins, and applications, with a focus on the Unit Circle and related corollaries.

• YouTube
• 38 minutes
• Self-Paced
• Free Video

Reciprocal Identities in Trigonometry - Precalculus - Trigonometry

Explore reciprocal identities in trigonometry, connecting unit circle concepts with right triangle trigonometry for a deeper understanding of these fundamental relationships.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Trigonometric Functions and the Unit Circle - Precalculus - Trigonometry

Explore the Unit Circle's creation, its connection to right triangle trigonometry, and the development of trigonometric functions in this comprehensive precalculus lesson.

• YouTube
• 40 minutes
• Self-Paced
• Free Video

Proof by Mathematical Induction - Precalculus - College Algebra

Learn to prove summation formulas using Mathematical Induction, a powerful technique for verifying mathematical statements across infinite sets of natural numbers.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

Geometric Series - Precalculus - College Algebra

Learn to calculate partial and infinite sums of geometric series, mastering key concepts in precalculus and college algebra for advanced mathematical problem-solving.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

Arithmetic Sequences - Precalculus - College Algebra

Learn to identify and create arithmetic sequences by finding common differences and first terms in this concise, practical lesson.

• YouTube
• 22 minutes
• Self-Paced
• Free Video