Trigonometric Functions on a Unit Circle Flashcards
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Questions and Answers

What is the value of sin(0)?

  • undefined
  • 0 (correct)
  • 1
  • 1/2

    • What is the value of sin(π/6)?

  • √3/2
  • 1/2 (correct)
  • 1
  • 0

    • What is the value of sin(π/4)?

  • √2/2 (correct)
  • 1/2
  • 0
  • 1

    • What is the value of sin(π/3)?

    <p>√3/2</p> Signup and view all the answers

    What is the value of sin(π/2)?

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

    What is the value of cos(0)?

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

    What is the value of cos(π/6)?

    <p>√3/2</p> Signup and view all the answers

    What is the value of cos(π/4)?

    <p>√2/2</p> Signup and view all the answers

    What is the value of cos(π/3)?

    <p>1/2</p> Signup and view all the answers

    What is the value of tan(0)?

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

    What is the value of tan(π/4)?

    <p>1</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(π/3)?

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

    What is the value of tan(π)?

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

    Study Notes

    Sine Function Values

    • sin(0) = 0
    • sin(π/6) = 1/2
    • sin(π/4) = √2/2
    • sin(π/3) = √3/2
    • sin(π/2) = 1
    • sin(2π/3) = √3/2
    • sin(3π/4) = √2/2
    • sin(5π/6) = 1/2
    • sin(π) = 0
    • sin(7π/6) = -1/2
    • sin(5π/4) = -√2/2
    • sin(4π/3) = -√3/2
    • sin(3π/2) = -1
    • sin(5π/3) = -√3/2
    • sin(7π/4) = -√2/2
    • sin(11π/6) = -1/2
    • sin(2π) = 0

    Cosine Function Values

    • cos(0) = 1
    • cos(π/6) = √3/2
    • cos(π/4) = √2/2
    • cos(π/3) = 1/2
    • cos(π/2) = 0
    • cos(2π/3) = -1/2
    • cos(3π/4) = -√2/2
    • cos(5π/6) = -√3/2
    • cos(π) = -1
    • cos(7π/6) = -√3/2
    • cos(5π/4) = -√2/2
    • cos(4π/3) = -1/2
    • cos(3π/2) = 0
    • cos(5π/3) = 1/2
    • cos(7π/4) = √2/2
    • cos(11π/6) = √3/2
    • cos(2π) = 1

    Tangent Function Values

    • tan(0) = 0
    • tan(π/6) = √3/3
    • tan(π/4) = 1
    • tan(π/3) = √3
    • tan(π/2) = undefined
    • tan(2π/3) = -√3
    • tan(3π/4) = -1
    • tan(5π/6) = -√3/3
    • tan(π) = 0
    • tan(7π/6) = √3/3
    • tan(5π/4) = 1
    • tan(4π/3) = √3
    • tan(3π/2) = undefined
    • tan(5π/3) = -√3
    • tan(7π/4) = -1
    • tan(11π/6) = -√3/3
    • tan(2π) = 0

    General Notes

    • Sine values range from -1 to 1.
    • Cosine values also range from -1 to 1.
    • Tangent values can be undefined for angles where cosine is zero.
    • Angles are often expressed in radians, which are essential for calculations in trigonometry, especially on the unit circle.

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    Description

    Test your knowledge of trigonometric functions with this set of flashcards focusing on sine values on the unit circle. Each card presents an angle in radians along with its corresponding sine value. It's a great way to reinforce your understanding of trigonometric concepts.

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