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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 11 Trigonometry CCSS: HSF-TF.A.2
Reference angles are always acute.
  1. True
  2. False
Grade 11 Trigonometry CCSS: HSF-TF.A.2
If θ is the angle formed between a line from the origin to the point (0, 5) and the positive x-axis, find cosθ.
  1. cosθ = 0
  2. cosθ = 1
  3. cosθ = 5
  4. cosθ = [math]1/2[/math]
Grade 11 Trigonometry CCSS: HSF-TF.A.2
Find the reference angle for the given angle 135°?
  1. 45°
  2. 55°
  3. 225°
  4. 315°
Grade 11 Trigonometry CCSS: HSF-TF.A.2
Which of the following is a coterminal angle for 120°?
  1. 240°
  2. 300°
  3. 480°
  4. 600°
Grade 12 Trigonometry CCSS: HSF-TF.A.2
The terminal side of an angle measuring [math](13pi)/16[/math] radians lies in which quadrant?
  1. Quadrant 1
  2. Quadrant 2
  3. Quadrant 3
  4. Quadrant 4
Grade 11 Trigonometry CCSS: HSF-TF.A.2
Angle A is in standard position. It's terminal arm intersects the unit circle at [math](-3/10, sqrt(91)/10)[/math]. What is the value of [math]cos(A) ?[/math]
  1. [math]-3/sqrt(91)[/math]
  2. [math]-sqrt(91)/3[/math]
  3. [math]sqrt(91)/10[/math]
  4. [math]-3/10[/math]
Grade 11 Trigonometry CCSS: HSF-TF.A.2
If θ is the angle formed between a line from the origin to the point (-8, -15) and the positive x-axis, find sinθ.
  1. [math]sinθ = 15/17[/math]
  2. [math]sinθ = -8/17[/math]
  3. [math]sinθ = -15/17[/math]
  4. [math]sinθ = 8/17[/math]
Grade 11 Trigonometry CCSS: HSF-TF.A.2
Angle A is in standard position. Its terminal arm intersects the unit circle at ([math]7/4, –3/4[/math]). What is the value of csc(A)?
  1. [math]4/3[/math]
  2. [math]-4/3[/math]
  3. [math]4/7[/math]
  4. [math]-4/7[/math]
Grade 11 Trigonometry CCSS: HSF-TF.A.2
The terminal side of an angle measuring [math](14π)/9[/math] radians lies in which quadrant?
  1. Quadrant I
  2. Quadrant II
  3. Quadrant III
  4. Quadrant IV
Grade 12 Trigonometry CCSS: HSF-TF.A.2
The terminal side of an angle measuring [math](-2pi)/3[/math] radians lies in which quadrant?
  1. Quadrant 1
  2. Quadrant 2
  3. Quadrant 3
  4. Quadrant 4
Grade 11 Trigonometry CCSS: HSF-TF.A.2
Which of the following is coterminal with [math](31π)/9[/math]?
  1. [math](4π)/9[/math]
  2. [math](7π)/9[/math]
  3. [math](11π)/9[/math]
  4. [math](13π)/9[/math]
Grade 11 Trigonometry CCSS: HSF-TF.A.2
The terminal side of an angle measuring [math](7π)/6[/math] radians lies in which quadrant?
  1. Quadrant I
  2. Quadrant II
  3. Quadrant III
  4. Quadrant IV
Grade 11 Trigonometry CCSS: HSF-TF.A.2
The direction of positive angle measurement on the unit circle is
  1. clockwise
  2. counterclockwise
  3. vertical
  4. horizontal
Grade 11 Trigonometry CCSS: HSF-TF.A.2
If θ is the angle formed between a line from the origin to the point (6, 8) and the x-axis, find sinθ.
  1. [math] sinθ = 8/6[/math]
  2. [math] sinθ = 6/10[/math]
  3. [math] sinθ = 8/10[/math]
  4. [math] sinθ = 6/8[/math]
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