Question regarding Cosine Function

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    Cosine Function
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Discussion Overview

The discussion revolves around the properties of the cosine function, including its definition, graphical representation, and related mathematical concepts. Participants explore the foundational aspects of the cosine function and its applications in various contexts.

Discussion Character

  • Technical explanation, Conceptual clarification, Homework-related

Main Points Raised

  • One participant inquires about the properties of the cosine function and the methods to utilize them, expressing confusion.
  • Another participant explains that the cosine function represents the ratio of the adjacent side to the hypotenuse in a right-angled triangle and suggests sketching the graph to understand its properties.
  • A different participant notes that the square of any function must be greater than or equal to zero, indicating a realization about the properties of functions.
  • A later reply offers encouragement for the understanding achieved by the previous participant.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on specific properties or methods related to the cosine function, and the discussion includes varying levels of understanding and clarity.

Contextual Notes

Some assumptions about the foundational knowledge of trigonometric functions may be present, and the discussion does not resolve the methods or properties to be used with the cosine function.

F1225
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Do anyone know what properties of cosine function should we use? and the method to use it? kinda blur...
 

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The cosine is the ratio of the adjacent side of a right-angled triangle to it's hypotenuse.
If you sketch a graph of the cosine function, you see it obeys the first relation ... that's the "well known properties" that they are talking about. The second relation actually follows from the properties of a square (the power of two).

Sketch them and you'll see.
 
Thanks...I finally got it. Square of any function must be greater or equal to 0...
 
Well done :)
 

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