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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 Trigonometry CCSS: HSF-TF.A.2
What is the reference angle for 7π6?
  1. 2π3
  2. π3
  3. π6
  4. 5π6
Grade 12 Trigonometry CCSS: HSF-TF.A.2
What is the reference angle for 5π6?
  1. π6
  2. π3
  3. 2π6
  4. 2π3
Grade 11 Trigonometry CCSS: HSF-TF.A.2
What is the reference angle for 7π4?
  1. π4
  2. π3
  3. π6
  4. 3π4
Grade 11 Trigonometry CCSS: HSF-TF.A.2
Reference angles are always acute.
  1. True
  2. False
Grade 12 Trigonometry CCSS: HSF-TF.A.2
The terminal side of an angle measuring 13π16 radians lies in which quadrant?
  1. Quadrant 1
  2. Quadrant 2
  3. Quadrant 3
  4. Quadrant 4
Grade 12 Trigonometry CCSS: HSF-TF.A.2
The terminal side of an angle measuring -2π3 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
Find the reference angle for the given angle. 211.4°
  1. 121.4°
  2. 58.6°
  3. 31.4°
  4. 148.6°
Grade 11 Trigonometry CCSS: HSF-TF.A.2
-4π3 is equivalent to which of the following?
  1. -2π6
  2. 4π3
  3. π3
  4. 2π3
Grade 10 Trigonometry CCSS: HSF-TF.A.2
If θ is the angle formed between a line from the origin to the point (-1,-4) and the x-axis, find tanθ.
  1. tanθ=-4√17
  2. tanθ=-1√17
  3. tanθ=4
  4. tanθ=-14
Grade 10 Trigonometry CCSS: HSF-TF.A.2
If θ is the angle formed between a line from the origin to the point (-1,-4) and the x-axis, find cosθ.
  1. cosθ=-4√17
  2. cosθ=-1√17
  3. cosθ=4
  4. cosθ=-14
Grade 10 Trigonometry CCSS: HSF-TF.A.2
If θ is the angle formed between a line from the origin to the point (-3,5) and the x axis, find sinθ.
  1. sinθ=5√34
  2. sinθ=-3√34
  3. sinθ=-25
  4. sinθ=√345
Grade 10 Trigonometry CCSS: HSF-TF.A.2
If θ is the angle formed between a line from the origin to the point (4,3) and the x-axis, find tanθ.
  1. tanθ=43
  2. tanθ=35
  3. tanθ=45
  4. tanθ=34
Grade 10 Trigonometry CCSS: HSF-TF.A.2
If θ is the angle formed between a line from the origin to the point (4,3) and the x-axis, find cosθ.
  1. cosθ=43
  2. cosθ=35
  3. cosθ=45
  4. cosθ=34
Grade 11 Trigonometry CCSS: HSF-TF.A.2
-π3 is equivalent to which of the following?
  1. 5π6
  2. 4π3
  3. π3
  4. 5π3
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