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Common Core Standard HSF-TF.A.2 Questions

Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

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Grade 10 Functions CCSS: HSF-TF.A.2
If [math]theta[/math] is the angle formed between a line from the origin to the point [math](-1,-4)[/math], and the [math]x[/math]-axis find [math]tan theta[/math].
  1. [math]tan theta = -4/sqrt(17)[/math]
  2. [math]tan theta =- 1/sqrt(17)[/math]
  3. [math]tan theta = 4[/math]
  4. [math]tan theta = -1/4[/math]
Grade 10 Functions CCSS: HSF-TF.A.2
If [math]theta[/math] is the angle formed between a line from the origin to the point [math](-1,-4)[/math], and the [math]x[/math] axis find [math]cos theta[/math]
  1. [math]cos theta = -4/sqrt(17)[/math]
  2. [math]cos theta =- 1/sqrt(17)[/math]
  3. [math]cos theta = 4[/math]
  4. [math]cos theta = -1/4[/math]
Grade 10 Functions CCSS: HSF-TF.A.2
If [math]theta[/math] is the angle formed between a line from the origin to the point [math](-2,5)[/math], and the [math]x[/math] axis find [math]sin theta[/math]
  1. [math]sin theta = 5/sqrt(34)[/math]
  2. [math]sin theta =- 3/sqrt(34)[/math]
  3. [math]sin theta = -2/5[/math]
  4. [math]sin theta = sqrt(34)/5[/math]
Grade 10 Functions CCSS: HSF-TF.A.2
If [math]theta[/math] is the angle formed between a line from the origin to the point [math](4,3)[/math], and the [math]x[/math] axis find [math]tan theta[/math]
  1. [math]tan theta = 4/3[/math]
  2. [math]tan theta = 3/5[/math]
  3. [math]tan theta = 4/5[/math]
  4. [math]tan theta = 3/4[/math]
Grade 10 Functions CCSS: HSF-TF.A.2
If [math]theta[/math] is the angle formed between a line from the origin to the point [math](4,3)[/math], and the [math]x[/math] axis find [math]cos theta[/math]
  1. [math]cos theta = 4/3[/math]
  2. [math]cos theta = 3/5[/math]
  3. [math]cos theta = 4/5[/math]
  4. [math]cos theta = 3/4[/math]

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