Unit Circle - Tangent Functions Flashcards
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Unit Circle - Tangent Functions Flashcards

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Questions and Answers

What is the value of tan 0°?

  • 0 (correct)
  • √3
  • undefined
  • 1

    • What is the value of tan π/6?

  • 1
  • √3
  • 0
  • √3/3 (correct)

    • What is the value of tan π/4?

  • undefined
  • 0
  • 1 (correct)
  • √3

    • What is the value of tan π/3?

    <p>√3</p> Signup and view all the answers

    What is the value of tan π/2?

    <p>undefined</p> Signup and view all the answers

    What is the value of tan 2π/3?

    <p>-√3</p> Signup and view all the answers

    What is the value of tan 3π/4?

    <p>-1</p> Signup and view all the answers

    What is the value of tan 5π/6?

    <p>-√3/3</p> Signup and view all the answers

    What is the value of tan π?

    <p>0</p> Signup and view all the answers

    What is the value of tan 7π/6?

    <p>-√3/3</p> Signup and view all the answers

    What is the value of tan 5π/4?

    <p>-1</p> Signup and view all the answers

    What is the value of tan 4π/3?

    <p>-√3</p> Signup and view all the answers

    What is the value of tan 3π/2?

    <p>undefined</p> Signup and view all the answers

    What is the value of tan 5π/3?

    <p>-√3</p> Signup and view all the answers

    What is the value of tan 7π/4?

    <p>-1</p> Signup and view all the answers

    What is the value of tan 11π/6?

    <p>-√3/3</p> Signup and view all the answers

    What is the value of tan 2π?

    <p>0</p> Signup and view all the answers

    Study Notes

    Tangent Values on the Unit Circle

    • tan 0° is equal to 0.
    • tan π/6 gives the value of √3/3.
    • tan π/4 results in 1, a key angle in trigonometry.
    • tan π/3 equals √3, indicating an inclination at this angle.
    • tan π/2 is undefined, indicating a vertical asymptote at this angle.
    • tan 2π/3 results in -√3, reflecting a negative tangent in the second quadrant.
    • tan 3π/4 is -1, which is another key angle.
    • tan 5π/6 yields -√3/3, also negative and occurring in the second quadrant.
    • tan π equals 0, repeating the value of tan 0°.
    • tan 7π/6 gives √3/3, showcasing the periodic nature of tangent values.
    • tan 5π/4 results in 1, reaffirming that it shares the same line as π/4.
    • tan 4π/3 equals √3, similar to the value at π/3.
    • tan 3π/2 is undefined, similar to tan π/2.
    • tan 5π/3 results in -√3, showing its symmetry with angles in the third quadrant.
    • tan 7π/4 gives -1, reinforcing the periodicity of the tangent function.
    • tan 11π/6 results in -√3/3, reflecting its position in the fourth quadrant.
    • tan 2π returns to 0, indicating that the cycle completes at this angle.

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    Description

    Test your knowledge of the tangent function values on the unit circle with these flashcards. Each card provides an angle in radians and its corresponding tangent value, making it easier to memorize key concepts in trigonometry.

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