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Unit Circle: Csc, Sec, & Cot Flashcards
48 Questions
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Unit Circle: Csc, Sec, & Cot Flashcards

Created by
@AudibleFresno2256

Questions and Answers

What is the value of csc(0π)?

  • ∞
  • 0
  • 1
  • DNE (correct)

    • What is the value of sec(0π)?

  • -1
  • 1 (correct)
  • 0
  • DNE

    • What is the value of cot(0π)?

  • 1
  • DNE (correct)
  • ∞
  • 0

    • What is the value of csc(π/6)?

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

    What is the value of sec(π/6)?

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

    What is the value of cot(π/6)?

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

    What is the value of csc(π/4)?

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

    What is the value of sec(π/4)?

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

    What is the value of cot(π/4)?

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

    What is the value of csc(π/3)?

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

    What is the value of sec(π/3)?

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

    What is the value of cot(π/3)?

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

    What is the value of csc(π/2)?

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

    What is the value of sec(π/2)?

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

    What is the value of cot(π/2)?

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

    What is the value of csc(2π/3)?

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

    What is the value of sec(2π/3)?

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

    What is the value of cot(2π/3)?

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

    What is the value of csc(3π/4)?

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

    What is the value of sec(3π/4)?

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

    What is the value of cot(3π/4)?

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

    What is the value of csc(5π/6)?

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

    What is the value of sec(5π/6)?

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

    What is the value of cot(5π/6)?

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

    What is the value of csc(π)?

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

    What is the value of sec(π)?

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

    What is the value of cot(π)?

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

    What is the value of csc(7π/6)?

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

    What is the value of sec(7π/6)?

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

    What is the value of cot(7π/6)?

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

    What is the value of csc(5π/4)?

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

    What is the value of sec(5π/4)?

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

    What is the value of cot(5π/4)?

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

    What is the value of csc(4π/3)?

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

    What is the value of sec(4π/3)?

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

    What is the value of cot(4π/3)?

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

    What is the value of csc(3π/2)?

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

    What is the value of sec(3π/2)?

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

    What is the value of cot(3π/2)?

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

    What is the value of csc(5π/3)?

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

    What is the value of sec(5π/3)?

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

    What is the value of cot(5π/3)?

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

    What is the value of csc(7π/4)?

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

    What is the value of sec(7π/4)?

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

    What is the value of cot(7π/4)?

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

    What is the value of csc(11π/6)?

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

    What is the value of sec(11π/6)?

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

    What is the value of cot(11π/6)?

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

    Study Notes

    Cosecant, Secant, and Cotangent Values at Key Angles

    • Csc(0π) is undefined (DNE).
    • Sec(0π) equals 1.
    • Cot(0π) is undefined (DNE).

    Angle π/6 Values

    • Csc(π/6) equals 2.
    • Sec(π/6) equals 2√3/3.
    • Cot(π/6) equals √3.

    Angle π/4 Values

    • Csc(π/4) equals √2.
    • Sec(π/4) equals √2.
    • Cot(π/4) equals 1.

    Angle π/3 Values

    • Csc(π/3) equals 2√3/3.
    • Sec(π/3) equals 2.
    • Cot(π/3) equals √3/3.

    Angle π/2 Values

    • Csc(π/2) equals 1.
    • Sec(π/2) is undefined (DNE).
    • Cot(π/2) equals 0.

    Angle 2π/3 Values

    • Csc(2π/3) equals 2√3/3.
    • Sec(2π/3) equals -2.
    • Cot(2π/3) equals -√3/3.

    Angle 3π/4 Values

    • Csc(3π/4) equals √2.
    • Sec(3π/4) equals -√2.
    • Cot(3π/4) equals -1.

    Angle 5π/6 Values

    • Csc(5π/6) equals 2.
    • Sec(5π/6) equals -2√3/3.
    • Cot(5π/6) equals -√3.

    Angle π Values

    • Csc(π) is undefined (DNE).
    • Sec(π) equals -1.
    • Cot(π) is undefined (DNE).

    Angle 7π/6 Values

    • Csc(7π/6) equals -2.
    • Sec(7π/6) equals -2√3/3.
    • Cot(7π/6) equals √3.

    Angle 5π/4 Values

    • Csc(5π/4) equals -√2.
    • Sec(5π/4) equals -√2.
    • Cot(5π/4) equals 1.

    Angle 4π/3 Values

    • Csc(4π/3) equals -2√3/3.
    • Sec(4π/3) equals -2.
    • Cot(4π/3) equals √3/3.

    Angle 3π/2 Values

    • Csc(3π/2) equals -1.
    • Sec(3π/2) is undefined (DNE).
    • Cot(3π/2) equals 0.

    Angle 5π/3 Values

    • Csc(5π/3) equals -2√3/3.
    • Sec(5π/3) equals 2.
    • Cot(5π/3) equals -√3/3.

    Angle 7π/4 Values

    • Csc(7π/4) equals -√2.
    • Sec(7π/4) equals √2.
    • Cot(7π/4) equals -1.

    Angle 11π/6 Values

    • Csc(11π/6) equals -2.
    • Sec(11π/6) equals 2√3/3.
    • Cot(11π/6) equals -√3.

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    Description

    Test your knowledge of the unit circle with these flashcards focusing on cosecant (csc), secant (sec), and cotangent (cot). Each card presents a different angle and its corresponding function value. Ideal for students studying trigonometry concepts.

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