1. What is Trigonometry?

2. Angles and Their Types

   1. Acute, Right, Obtuse, Reflex

   2. Complementary and Supplementary Angles

3. Measuring Angles

   1. Degrees and Radians

   2. Converting Between Degrees and Radians

4. Trigonometric Ratios

   1. Sine (sin), Cosine (cos), Tangent (tan)

   2. Cosecant (csc), Secant (sec), Cotangent (cot)

5. Right Triangle Trigonometry

   1. SOH-CAH-TOA

   2. Solving Right Triangles

   3. Pythagorean Theorem

Solving Trigonometric Equations 

1. Basic Trig Equations
   
   

2. Using Identities to Simplify
   
   

3. Multiple Angle Equations
   
   

4. Equations Involving Inverse Trig Functions

Law of Sines and Cosines 

1. Understanding the Unit Circle

2. Trigonometric Values of Common Angles (0°, 30°, 45°, 60°, 90°)

3. Signs of Trig Functions in Different Quadrants (ASTC Rule)

4. Coterminal Angles

5. Reference Angles

Graphs of Trigonometric Functions 

1. Graphs of sin(x), cos(x), and tan(x)

2. Graphs of sec(x), csc(x), and cot(x)

3. Amplitude, Period, Phase Shift, and Vertical Shift

4. Inverse Trigonometric Functions and Their Graphs

   1. arcsin(x), arccos(x), arctan(x)

Trigonometric Identities 

1. Reciprocal Identities

2. Quotient Identities

3. Pythagorean Identities

4. Co-Function Identities

5. Even-Odd Identities

6. Sum and Difference Formulas

7. Double-Angle and Half-Angle Formulas

8. Product-to-Sum and Sum-to-Product Formulas

Applications of Trigonometry