Special Angle Chart Flashcards

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Questions and Answers

What is sin(0)?

0

What is sin(Ï€/6)?

1/2

What is sin(Ï€/4)?

√2/2

What is sin(Ï€/3)?

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

What is sin(Ï€/2)?

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

What is sin(Ï€)?

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

What is sin(3Ï€/2)?

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

What is cos(0)?

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

What is cos(Ï€/6)?

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

What is cos(Ï€/4)?

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

What is cos(Ï€/3)?

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

What is cos(Ï€/2)?

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

What is cos(Ï€)?

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

What is cos(3Ï€/2)?

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

What is tan(0)?

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

What is tan(Ï€/6)?

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

What is tan(Ï€/4)?

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

What is tan(Ï€/3)?

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

What is tan(Ï€/2)?

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

What is tan(Ï€)?

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

What is tan(3Ï€/2)?

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

What is csc(0)?

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

What is csc(Ï€/6)?

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

What is csc(Ï€/4)?

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

What is csc(Ï€/3)?

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

What is csc(Ï€/2)?

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

What is csc(Ï€)?

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

What is csc(3Ï€/2)?

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

What is sec(0)?

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

What is sec(Ï€/6)?

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

What is sec(Ï€/4)?

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

What is sec(Ï€/3)?

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

What is sec(Ï€/2)?

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

What is sec(Ï€)?

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

What is sec(3Ï€/2)?

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

What is cot(0)?

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

What is cot(Ï€/6)?

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

What is cot(Ï€/4)?

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

What is cot(Ï€/3)?

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

What is cot(Ï€/2)?

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

What is cot(Ï€)?

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

What is cot(3Ï€/2)?

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

Flashcards

sin(0)

The value of sine at 0 radians is 0.

sin(Ï€/6)

The value of sine at π/6 radians is 1/2.

sin(Ï€/4)

The value of sine at π/4 radians is √2/2.

sin(Ï€/3)

The value of sine at π/3 radians is √3/2.

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sin(Ï€/2)

The value of sine at π/2 radians is 1.

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cos(0)

The value of cosine at 0 radians is 1.

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cos(Ï€/6)

The value of cosine at π/6 radians is √3/2.

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cos(Ï€/4)

The value of cosine at π/4 radians is √2/2.

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cos(Ï€/3)

The value of cosine at π/3 radians is 1/2.

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cos(Ï€/2)

The value of cosine at π/2 radians is 0.

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tan(0)

The value of tangent at 0 radians is 0.

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tan(Ï€/6)

The value of tangent at π/6 radians is √3/3.

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tan(Ï€/4)

The value of tangent at π/4 radians is 1.

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tan(Ï€/3)

The value of tangent at π/3 radians is √3.

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cot(Ï€/6)

The value of cotangent at π/6 radians is √3.

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cot(Ï€/4)

The value of cotangent at π/4 radians is 1.

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cot(Ï€/3)

The value of cotangent at π/3 radians is √3/3.

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csc(Ï€/6)

The value of cosecant at π/6 radians is 2.

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csc(Ï€/4)

The value of cosecant at π/4 radians is √2.

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sec(Ï€/6)

The value of secant at π/6 radians is 2√3/3.

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Study Notes

Sine Function Values

  • sin(0) = 0
  • sin(Ï€/6) = 1/2
  • sin(Ï€/4) = √2/2
  • sin(Ï€/3) = √3/2
  • sin(Ï€/2) = 1
  • sin(Ï€) = 0
  • sin(3Ï€/2) = -1

Cosine Function Values

  • cos(0) = 1
  • cos(Ï€/6) = √3/2
  • cos(Ï€/4) = √2/2
  • cos(Ï€/3) = 1/2
  • cos(Ï€/2) = 0
  • cos(Ï€) = -1
  • cos(3Ï€/2) = 0

Tangent Function Values

  • tan(0) = 0
  • tan(Ï€/6) = √3/3
  • tan(Ï€/4) = 1
  • tan(Ï€/3) = √3
  • tan(Ï€/2) = undefined (vertical asymptote)
  • tan(Ï€) = 0
  • tan(3Ï€/2) = undefined (vertical asymptote)

Cosecant Function Values

  • csc(0) = undefined (division by zero)
  • csc(Ï€/6) = 2
  • csc(Ï€/4) = √2
  • csc(Ï€/3) = 2√3/3
  • csc(Ï€/2) = 1
  • csc(Ï€) = undefined (division by zero)
  • csc(3Ï€/2) = undefined (division by zero)

Secant Function Values

  • sec(0) = 1
  • sec(Ï€/6) = 2√3/3
  • sec(Ï€/4) = √2
  • sec(Ï€/3) = 2
  • sec(Ï€/2) = undefined (division by zero)
  • sec(Ï€) = undefined (division by zero)
  • sec(3Ï€/2) = undefined (division by zero)

Cotangent Function Values

  • cot(0) = undefined (division by zero)
  • cot(Ï€/6) = √3
  • cot(Ï€/4) = 1
  • cot(Ï€/3) = √3/3
  • cot(Ï€/2) = 0
  • cot(Ï€) = undefined (division by zero)
  • cot(3Ï€/2) = undefined (division by zero)

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