Trigonometric Functions

1. General Angles and Radian Measure
1. Radian Measure
   1 radian radians
2. Arc Length and Area of a Sector
   For a sector with a radius of and a central angle of (in radians), the arc length is and the area is , where:
   
2. Trigonometric Functions
1. For a point on a circle with radius and center , the angle formed by the ray is given by:
   
2. Relationships between Trigonometric Functions


3. Graphs of Trigonometric Functions
1. Properties of the Functions and
1. The domain is the set of all real numbers, and the range is
2. The graph of is symmetric about the origin, and the graph of is symmetric about the -axis.
3. Both functions are periodic with a period of .


2. Properties of the Function
1. The domain is the set of all real numbers except (where is an integer), and the range is the set of all real numbers.
2. The graph is symmetric about the origin.
3. It is a periodic function with a period of .
4. The asymptotes of the graph are the lines (where is an integer).
3. Properties of Trigonometric Functions (with matching signs)
1. , ,
2. , ,
3. ,