Course Materials
Lessons
Trigonometric Models
- Video - Definition of Simple Harmonic Motion (10:50)
- Video - Features of Simple Harmonic Motion (5:00)
- Video - Motions of Sine Function (6:55)
- Video - Motions of Cosine Function (2:47)
- Video - Finding Equations of Motion of Cosine Function (6:52)
- Video - Finding Equations of Motion of Sine Function (8:24)
- Video - High Tide and Low Tide with Negative Displacement (9:47)
- Video - High Tide and Low Tide with Positive Displacement (7:05)
Negative Angle Formulae
- Topic - Sine Ratios of Negative Angles in Degree 1
- Topic - Sine Ratios of Negative Angles in Degree 2
- Topic - Cosine Ratios of Negative Angles in Degree 1
- Topic - Cosine Ratios of Negative Angles in Degree 2
- Topic - Tangent Ratios of Negative Angles in Degree 1
- Topic - Tangent Ratios of Negative Angles in Degree 2
- Topic - Sine Ratios of Negative Angles in Radian
- Topic - Cosine Ratios of Negative Angles in Radian
- Topic - Tangent Ratios of Negative Angles in Radian
Complementary Angle Formula
- Topic - Complementary Angle Formula
- Topic - Complementary Angles of Sine and Cosine
- Topic - Complementary Angles of Tangent and Cotangent
- Topic - Complementary Angle Formula for Second Quadrant Angles
- Topic - Complementary Angle Formula for Third Quadrant Angles 1
- Topic - Complementary Angle Formula for Third Quadrant Angles 2
- Topic - Complementary Angle Formula for Third Quadrant Angles 3
Simplifying Trigonometric Expressions
- Video - Trigonometric Relationships (5:37)
- Video - Pythagorean Identities (4:59)
- Video - Proofs using sin^2 x + cos^2 x = 1 (4:55)
- Video - Simplifications using sin^2 x + cos^2 x = 1 (3:27)
- Video - Geometrical Applications using sin^2 x + cos^2 x = 1 (7:03)
- Video - Proofs using tan^2 x + 1 = sec^2 x (1:23)
- Video - Eliminating Sine and Cosine Trigonometric Parameters (9:20)
- Video - Eliminating Tangent and Secant Trigonometric Parameters (1:57)
Compound Angle Formula
- Video - Trigonometric Expressions using Sums & Differences of Sine (6:33)
- Video - Evaluating Exact Values using Sums & Differences of Sine (6:29)
- Video - Evaluate sin 3x using Sums & DIfferences of Sine (3:17)
- Video - Sums & Differences of Cosine (6:26)
- Video - Evaluating Exact Values using Sums & Differences of Cosine (5:01)
- Video - Proof involving Sums & Differences of Cosine (3:09)
- Video - Sums & Differences of Tangent (4:48)
- Video - Evaluating Exact Values using Sums & Differences of Tangent (8:28)
- Video - Proof involving Sums & Differences of Tangent (7:04)
Factorisation Identities
- Topic - Factorisation identities 1
- Topic - Factorisation identities 2
- Topic - Factorisation identities 3
- Topic - Factorisation identities 4
- Topic - Factorisation identities 5
- Topic - Factorisation identities 6
- Topic - Factorisation identities 7
- Topic - Factorisation identities 8
- Topic - Factorisation identities 9
- Topic - Factorisation identities 10
- Topic - Factorisation identities 11
- Topic - Factorisation identities 12
- Topic - Factorisation identities 13
- Topic - Factorisation identities 14
t-Formula
- Video - Understanding t-Formula (5:57)
- Video - t-Formula involving Sine & Cosine (4:37)
- Video - t-Formula involving Tangent & Secant (1:52)
- Video - t-Formula involving Double Angle of Sine (1:30)
- Video - t-Formula involving Cotangent (2:36)
- Video - t-Formula involving Double Angle of Tangent (3:36)
- Video - Introduction to Equations using t-Formula (3:32)
- Video - Equations using t-Formula (6:59)
- Video - Equations using t-Formula involving Quadratic Formula (7:12)
