Trigonometric Functions: The Unit Circle
| Topic Review on "Title": |
The domain of the sine function:
The domain of the sine function is the set of all real numbers.
The domain of the cosine function:
The domain of the cosine function is the set of all real numbers.
Periodic function:
A function is called periodic if there is a positive number  such that, whenever  is in the domain of  so is  and . P is the period of 
The Period of sine and cosine functions:
The period of sine and cosine functions is 
Line:
A geometric figure formed by a point moving along a fixed direction and the reverse direction.
Slope of a line:
If  and  are arbitrary two points on the line, the slope can be calculated by
 .
Midpoint of any two points:
The distance between two arbitrary points is given by
 .
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| "Title" Tutorial Summary : |
The concept of a trigonometric function s discussed with the use of the unit circle and its properties. The trigonometric values of quadrantal angles are calculated with the use of examples. One can approximate trigonometric functions with the use of calculators.
The domain and periods of sine and cosine functions are important for the discussion of ideals such as the periodicity of functions among others. The use of finding exact values for trigonometric functions is important in this tutorial.
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| Tutorial Features: |
Specific Tutorial Features:
• Step by step examples showing how to approximate trigonometric functions with the use of a calculator are shown in this tutorial.
• Example problems with step by step solutions and accompanying diagrams to help illustrate the usage of angles in finding the values of trigonometric functions.
Series Features:
• Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
• Definition slides introduce terms as they are needed.
• Visual representation of concepts
• Animated examples—worked out step by step
• A concise summary is given at the conclusion of the tutorial.
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| "Title" Topic List: |
Trigonometric function
Unit circle
Calculating the values of trigonometric functions using a calculator
Properties of the sine and cosine functions
Domain of the sine and cosine function
Periodicity of sine and cosine function
Example of sine and cosine function
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