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Tenth Grade (Grade 10) Trigonometry Questions

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Grade 10 Trigonometry CCSS: HSG-SRT.D.10
If [math]AB=17[/math], [math]ang C = 26deg[/math], and [math]AC= 6[/math], what is value of [math]ang B[/math] ?
Scalene Triangle ABC v1
  1. [math]3.2 deg[/math]
  2. [math].4 deg[/math]
  3. [math]1.2 deg[/math]
  4. [math]8.9 deg[/math]
Grade 10 Trigonometry CCSS: HSF-TF.A.2
What is the reference angle for [math](7pi)/6 ?[/math]
  1. [math](2pi)/3[/math]
  2. [math]pi/3[/math]
  3. [math]pi/6[/math]
  4. [math](5pi)/6[/math]
Grade 10 Trigonometry CCSS: HSG-SRT.D.10
If [math]AB=27[/math], [math]ang C = 19deg[/math], and [math]AC= 4[/math], what is value of [math]ang B[/math] ?
Scalene Triangle ABC v1
  1. [math]2.2 deg[/math]
  2. [math].04 deg[/math]
  3. [math]2.8 deg[/math]
  4. [math]81.9 deg[/math]
Grade 10 Trigonometry
What are the locations the vertical asymptotes of [math]y = 1/2 cot(2x) + 1, \ x in [-pi,pi] ?[/math]
  1. [math] x = 0 [/math]
  2. [math] x = -2, -1, 0, 1, 2[/math]
  3. [math] x =-pi, 0, pi [/math]
  4. [math] x = -pi, -pi/2, 0, pi/2, pi[/math]
Grade 10 Trigonometry
Where are the vertical asymptotes located for [math]y = 2tan(x-pi/2) - 1, \ x in [-pi,pi]?[/math]
  1. No asymptotes in this region
  2. [math]x=0[/math]
  3. [math]x=-pi/2,pi/2[/math]
  4. [math]x=-pi,0,pi[/math]
Grade 10 Trigonometry CCSS: HSF-IF.B.4
Given the domain [math]-pi < x < pi[/math], at what interval(s) is the function [math]f(x)=2cos(x)[/math] negative?
  1. [math]-3/4pi < x < -1/4pi, 1/4pi < x < 3/4pi[/math]
  2. [math]-pi < x < 0[/math]
  3. [math]-1/2pi < x < 1/2 pi[/math]
  4. [math]-pi < x <-1/2pi,1/2pi< x< pi[/math]
Grade 10 Trigonometry CCSS: HSG-SRT.D.10
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