Professor Leonard Courses

How to Use the Law of Sines in Trigonometry

Learn to apply the Law of Sines to solve oblique triangles, finding missing sides and angles. Gain practical skills for trigonometry problem-solving in this comprehensive tutorial.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video

How to Use Product to Sum and Sum to Product Formulas in Trig

Learn to apply and prove Product to Sum and Sum to Product formulas for sine and cosine in trigonometry through multiple examples and demonstrations.

• YouTube
• 46 minutes
• On-Demand
• Free Video

How to Use the Double and Half Angle Formulas for Trigonometry

Comprehensive tutorial on applying double and half angle formulas in trigonometry, featuring numerous practical examples to enhance understanding and problem-solving skills.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

Proving the Double and Half Angle Formulas for Trigonometry

Explore proofs of double and half angle formulas for sine, cosine, and tangent, enhancing understanding of trigonometric identities and their derivations.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Introduction to Sum and Difference Formulas in Trigonometry

Learn sum and difference formulas for sine, cosine, and tangent, their derivations, and applications in solving complex trigonometric problems beyond the unit circle.

• YouTube
• 51 minutes
• On-Demand
• Free Video

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video