Math Problem Statement
Complete the following statement. The range of the cosine function is __________.
Solution
The range of the cosine function is .
This means that for any input , the output of the cosine function will always lie between and , inclusive.
Would you like more details or have any further questions?
Here are 5 related questions to explore further:
- What is the domain of the cosine function?
- How is the period of the cosine function defined?
- What is the amplitude of the cosine function?
- How does the graph of the cosine function look over one period?
- How is the cosine function related to the sine function?
Tip: The cosine function repeats its values every radians, which is known as its period.
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Cosine Function
Range of Functions
Formulas
Range of cosine function: [-1, 1]
Theorems
Cosine Function Properties
Periodic Nature of Trigonometric Functions
Suitable Grade Level
Grades 9-12