Cotangent: Definition & Formula


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question 1 of 3

Using the unit circle, find the cotangent of a 30-degree angle (pi/6).

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1. Cotangent is the reciprocal of the tangent function. What is the definition of cotangent?

2. Using the 45-45-90 triangle, find the cotangent of a 45-degree angle.

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About This Quiz & Worksheet

This quiz is designed to give you practice with finding the cotangent in various trigonometry problems. You will also need to know the definition of a cotangent to be successful on the quiz.

Quiz & Worksheet Goals

You should be able to find the cotangent of the following angles:

  • 30-degree
  • 45-degree
  • 270-degree

Skills Practiced

Questions provide you with extra practice in:

  • Problem solving - use acquired knowledge to solve practice problems involving finding the cotangent
  • Knowledge application - use your knowledge to answer questions about the definition of cotangent
  • Information recall - access the knowledge you've gained regarding the unit circle, the 45-45-90 triangle and the 30-60-90 triangle

Additional Learning

Develop your understanding of cotangents even further with the help of the instruction found in the lesson titled Cotangent: Definition & Formula. You'll learn about:

  • Real world applications of trigonometric functions
  • The relationship between the cotangent and the tangent
  • Methods for working with cotangents