뒤로Graphs of Tangent and Cotangent Functions definitions
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1/15뒤로Skip to main content뒤로Tangent Function
A trigonometric function defined as the ratio of sine to cosine, with a graph featuring repeating curves and vertical asymptotes. Cotangent Function
A trigonometric function that is the reciprocal of tangent, with a graph that is a flipped version of the tangent graph. Asymptote
A vertical line on a graph where the function approaches infinity or is undefined, often due to division by zero. Period
The horizontal distance required for a function's graph to complete one full cycle before repeating. Odd Multiple of π/2
Values like π/2, 3π/2, etc., where the tangent function has vertical asymptotes due to cosine equaling zero. Integer Multiple of π
Values like 0, π, 2π, etc., where the cotangent function has vertical asymptotes due to sine equaling zero. Reciprocal Identity
A relationship where one trigonometric function is the reciprocal of another, such as cotangent being one over tangent. Transformation
A change applied to a function's graph, such as shifting, stretching, or compressing, affecting its appearance. Zero
A point on the graph where the function's output is exactly zero, often corresponding to x-intercepts. Vertical Stretch
A transformation that increases the steepness of a graph, making its curves rise or fall more sharply. Horizontal Shift
A transformation that moves the entire graph left or right along the x-axis. Undefined Value
A point where the function cannot be evaluated, typically due to division by zero, resulting in an asymptote. Repeating Behavior
A property where a function's graph repeats its pattern at regular intervals along the x-axis. Curve Orientation
The direction in which a graph's curve moves between asymptotes, such as bottom-left to top-right or top-left to bottom-right. X-Intercept
A point where the graph crosses the x-axis, indicating the input value for which the function's output is zero.
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