Special Angle Chart Flashcards
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Questions and Answers

What is sin(0)?

0

What is sin(π/6)?

1/2

What is sin(π/4)?

√2/2

What is sin(π/3)?

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

What is sin(π/2)?

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

What is sin(π)?

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

What is sin(3π/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(π/6)?

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

What is cos(π/4)?

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

What is cos(π/3)?

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

What is cos(π/2)?

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

What is cos(π)?

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

What is cos(3π/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(π/6)?

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

What is tan(π/4)?

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

What is tan(π/3)?

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

What is tan(π/2)?

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

What is tan(π)?

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

What is tan(3π/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(π/6)?

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

What is csc(π/4)?

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

What is csc(π/3)?

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

What is csc(π/2)?

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

What is csc(π)?

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

What is csc(3π/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(π/6)?

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

What is sec(π/4)?

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

What is sec(π/3)?

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

What is sec(π/2)?

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

What is sec(π)?

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

What is sec(3π/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(π/6)?

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

What is cot(π/4)?

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

What is cot(π/3)?

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

What is cot(π/2)?

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

What is cot(π)?

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

What is cot(3π/2)?

<p>undefined</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(π) = 0
  • sin(3π/2) = -1

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(π) = -1
  • cos(3π/2) = 0

Tangent Function Values

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

Cosecant Function Values

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

Secant Function Values

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

Cotangent Function Values

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

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Test your understanding of trigonometric functions with these flashcards covering special angles. Each card includes the sine or cosine of a specific angle along with its value. Perfect for students studying trigonometry and preparing for exams.

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