Trigonometric Functions on the Unit Circle
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Questions and Answers

What is the value of cos(0)?

1

What is the value of sin(0)?

0

What is the value of tan(0)?

0

What is the value of cos(π/6)?

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

What is the value of sin(π/6)?

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

What is the value of tan(π/6)?

<p>√3/3</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 sin(π/4)?

<p>√2/2</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 cos(π/3)?

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

What is the value of sin(π/3)?

<p>√3/2</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 cos(π/2)?

<p>0</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 tan(π/2)?

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

What is the value of cos(2π/3)?

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

What is the value of sin(2π/3)?

<p>√3/2</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 cos(3π/4)?

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

What is the value of sin(3π/4)?

<p>√2/2</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 cos(5π/6)?

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

What is the value of sin(5π/6)?

<p>1/2</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 cos(π)?

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

What is the value of sin(π)?

<p>0</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 cos(7π/6)?

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

What is the value of sin(7π/6)?

<p>-1/2</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 cos(5π/4)?

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

What is the value of sin(5π/4)?

<p>-√2/2</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 cos(4π/3)?

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

What is the value of sin(4π/3)?

<p>-√3/2</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 cos(3π/2)?

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

What is the value of sin(3π/2)?

<p>-1</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 cos(5π/3)?

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

What is the value of sin(5π/3)?

<p>-√3/2</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 cos(7π/4)?

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

What is the value of sin(7π/4)?

<p>-√2/2</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 cos(11π/6)?

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

What is the value of sin(11π/6)?

<p>-1/2</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

Trigonometric Functions on the Unit Circle

  • cos (0) = 1

  • sin (0) = 0

  • tan (0) = 0

  • cos (π/6) = √3/2

  • sin (π/6) = 1/2

  • tan (π/6) = √3/3

  • cos (π/4) and sin (π/4) both equal √2/2

  • tan (π/4) = 1

  • cos (π/3) = 1/2

  • sin (π/3) = √3/2

  • tan (π/3) = √3

  • cos (π/2) = 0

  • sin (π/2) = 1

  • tan (π/2) = undefined

  • cos (2π/3) = -1/2

  • sin (2π/3) = √3/2

  • tan (2π/3) = -√3

  • cos (3π/4) = -√2/2

  • sin (3π/4) = √2/2

  • tan (3π/4) = -1

  • cos (5π/6) = -√3/2

  • sin (5π/6) = 1/2

  • tan (5π/6) = -√3/3

  • cos (π) = -1

  • sin (π) = 0

  • tan (π) = 0

  • cos (7π/6) = -√3/2

  • sin (7π/6) = -1/2

  • tan (7π/6) = √3/3

  • cos (5π/4) = -√2/2

  • sin (5π/4) = -√2/2

  • tan (5π/4) = 1

  • cos (4π/3) = -1/2

  • sin (4π/3) = -√3/2

  • tan (4π/3) = √3

  • cos (3π/2) = 0

  • sin (3π/2) = -1

  • tan (3π/2) = undefined

  • cos (5π/3) = 1/2

  • sin (5π/3) = -√3/2

  • tan (5π/3) = -√3

  • cos (7π/4) = √2/2

  • sin (7π/4) = -√2/2

  • tan (7π/4) = -1

  • cos (11π/6) = √3/2

  • sin (11π/6) = -1/2

  • tan (11π/6) = -√3/3

  • tan (2π) = 0

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Description

This quiz covers the basics of trigonometric functions as they relate to the unit circle. Participants will be tested on values of sine, cosine, and tangent for key angles in radians. Enhance your understanding of how these functions behave on the unit circle.

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