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

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Trigonometry Question

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Let circle A be the unit circle centered at the origin. Assume that x1,x2,x3,x4,y1,y2,y3,y4 are all real numbers that are greater than or equal to zero.

Grade 11 Trigonometry CCSS: HSF-TF.A.4

Let π2<α≤π be an angle in standard position, whose terminal arm intersects circle A at (-x2,y2). Can the same conclusion be reached concerning sin(α) as was reached for sin(θ), with the same reasoning? Why?
  1. Yes, since neither conclusion depends upon the x-values (it doesn't matter if they're positive or negative).
  2. Yes, since sin(α)=sin(θ).
  3. No, because the reasoning applied is only valid for angles in the first quadrant.
  4. No, because the sine function is only positive in the first quadrant.