1. Trigonometry

1.01  Two Triangles you MUST LEARN

1.02  Using the Two Triangles

1.03  Finding Exact values of sin(x), cos(x) and tan(x) using the Two Triangles

1.04  Introducing cosec(x), sec(x) and cot(x)

1.05  Sketching y = cosec(x)

1.06  Sketching y = sec(x)

1.07  Sketching y = cot(x)

1.08  Finding Exact values of cosec(x), sec(x) and cot(x) using the Two Triangles

1.09  Solving Basic Trig Equations involving cosec(x), sec(x) and cot(x)

1.10  Two New Trigonometric Identities involving cosec(x), sec(x) and cot(x)

1.11  Solving sec^2(x) = 4 + 2tan(x)

1.12  Given sin(x)=5/8, find the exact values of cosec(x), sec(x) and cot(x)

1.13  Simplifying Trigonometric Expressions

1.14  Introducing Proving Trigonometric Identities

1.15  Examples of Proving Trigonometric Identities

1.16  Proving One More Trigonometric Identity

1.17a Using the Compound Angle Formulas: Finding the exact value of sin 105

1.17b Using the Compound Angle Formulas: Working Backwards

1.18 Introducing the Double Angle Formulas

1.19 Using a Double Angle Formula to Integrate

1.20 Using a Double Angle Formula to Solve an Equation

1.21a Why can we write 4sin(theta) + 3cos(theta) in the form rsin(theta + alpha)?

1.21b Writing 4sin(theta) + 3cos(theta) in the form rsin(theta + alpha)

1.22 Writing 3cos(theta) – 4sin(theta) in the form rcos(theta + alpha)