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Author: nsharp1
No. Questions: 4
Created: Aug 5, 2020
Last Modified: 4 years ago

Trigonometric Functions and the Unit Circle

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Let circle O be the unit circle centered about the origin. Let (12,√32) be point A, which is on the unit circle. Let θ be the acute angle in standard position whose terminal arm passes through point A.
Grade 11 Trigonometry CCSS: HSF-TF.A.2
A.
What is the value of sin(θ)?
  1. √3
  2. 1√3
  3. √32
  4. 12
Grade 11 Trigonometry CCSS: HSF-TF.A.2
B.
What is the value of θ?
  1. π6
  2. π3
  3. π4
  4. π2
Grade 11 Trigonometry CCSS: HSF-TF.A.2
C.
What is the relationship between point A on circle O, its associated angle θ, and the ordered pair (π3,√32) of the function f(x)=sin(x)?
  1. The angle θ is the first value of the ordered pair, and the y-value of point A is the second value.
  2. The y-value of point A is the second value of the ordered pair. The first value of the ordered pair is the complement of θ.
  3. The y-value of point A is the second value of the ordered pair. The first value of the ordered pair is random (it has no relationship to point A or θ).
  4. There is no relationship.
Grade 11 Trigonometry CCSS: HSF-TF.A.2
D.
The following are ordered pairs of the function f(x)=sin(x): (π6,12),(13π6,12),(25π6,12). To which point(s) on the unit circle would these ordered pairs be associated with, according to the relationship in the previous question.
  1. (√32,12)
  2. (√32,12),(√22,√22),(12,√32)
  3. (√32,12),(-√32,12),(-√32,-12)
  4. (12,√32)