Find the Range y=cos(x)

Problem

y=cos(x)

Solution

1. Identify the parent function as the basic cosine function, where x represents the angle in radians or degrees and y represents the output value.

2. Recall the properties of the unit circle, where the cosine of an angle corresponds to the xcoordinate of a point on the circle.

3. Determine the maximum and minimum values of the cosine function, noting that the xcoordinate on a unit circle oscillates between a minimum of −1 and a maximum of 1

4. Conclude that for any real number x the value of cos(x) is always contained within the closed interval from −1 to 1

Final Answer

Range:[−1,1]

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