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Definitions (Trigonometric Functions (Secant: The Reciprocal of a Cosine.,…
Definitions (
Trigonometric Functions,
The Unit Circle,
Radians and Degrees: Radians are the units of angles. Degrees are units of measurement of angles,
How to convert from one set of units to another:
-Write the conversion as a fraction
-Multiply
-Cancel any units that are both top and bottom,
Terminal, co-terminal, and reference angles: Terminal side is a straight line that has been rotated around a point on another line to form an angle measured in a clockwise or counterclockwise direction. Co-terminal angles are angles who share the same initial side and terminal sides. Reference angles are the smallest angles between the terminal side and the x-axis.,
The line where it says 30 degrees is the co-terminal angle. The reference angle is 30 degrees. The terminal side is 390 degrees.https://i.imgsafe.org/0ab61d16bf.png,
Positive and Negative angles: Negative angles are a way of measuring an angle from a different direction. A positive angle is created by rotating counter-clockwise around the origin of a coordinate system, starting at the x-axis (the horizontal axis) and proceeding through the quadrants in the order I, II, III, IV. ,
,
Examples of radians and degrees: ,
Example of positive and negative angles: )