Cotangent graph: y = cot x

What You'll Learn

Identify cotangent as the reciprocal of the tangent function

Graph cotangent by taking reciprocals of tangent function values

Locate vertical asymptotes where tangent equals zero

Recognize invariant points at y = 1 and y = -1 on reciprocal graphs

Apply the X-pattern memory aid to sketch cotangent from tangent quickly

What You'll Practice

Converting tangent graph points to their reciprocal values

Identifying and marking vertical asymptotes on cotangent graphs

Sketching complete cotangent curves using the X-pattern technique

Determining zeros and asymptotes by analyzing reciprocal relationships

Why This Matters

Understanding cotangent graphs strengthens your grasp of reciprocal trigonometric functions, a skill essential for advanced calculus, physics, and engineering. Mastering these transformations helps you visualize function behavior and solve complex trigonometric equations efficiently.

Before You Start — Make Sure You Can:

Use tangent ratio to calculate angles and sides (Tan = \( \frac{o}{a}\) )Radian measure and arc length Converting between degrees and radians Tangent graph: y = tan x

This Unit Includes

1 Video lesson

Skills

Cotangent

Reciprocal Functions

Graphing

Vertical Asymptotes

Trigonometry

Function Transformations

Invariant Points

IL Curriculum Aligned