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Type: Multiple-Choice
Category: Trigonometry
Level: Grade 11
Standards: HSF-TF.A.2
Author: nsharp1
Created: 4 years ago

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Trigonometry Question

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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

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.