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Tenth Grade (Grade 10) Trigonometry Questions

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Grade 10 Trigonometry CCSS: HSF-IF.B.4
Given the domain -π<x<π, at what interval(s) is slope of the function f(x)=sinx positive?
  1. 0<x<π
  2. -π<x<0
  3. -12π<x<12π
  4. -π<x<-12π,12π<x<π
Grade 10 Trigonometry
Where are the vertical asymptotes located for y=2tan(x-π2)-1, x∈[-π,π]?
  1. No asymptotes in this region
  2. x=0
  3. x=-π2,π2
  4. x=-π,0,π
Grade 10 Trigonometry CCSS: HSG-SRT.D.10
If AB=27, ∠C=19°, and AC=4, what is value of ∠B ?
Scalene Triangle ABC v1
  1. 2.2°
  2. .04°
  3. 2.8°
  4. 81.9°
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 (-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
What is the reference angle for 7π6?
  1. 2π3
  2. π3
  3. π6
  4. 5π6
Grade 10 Trigonometry CCSS: HSF-IF.B.4
Given the domain -π<x<π, at what interval(s) is the function f(x)=2cos(x) negative?
  1. -34π<x<-14π,14π<x<34π
  2. -π<x<0
  3. -12π<x<12π
  4. -π<x<-12π,12π<x<π
Grade 10 Trigonometry
Given the domain -π<x<π, at what interval(s) is the function f(x)=cos(2x) negative?
  1. -34π<x<-14π,14π<x<34π
  2. -π<x<0,0<x<π
  3. -12π<x<12π
  4. -12π<x<0,12π<x<π
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 10 Trigonometry CCSS: HSF-IF.B.4
Given the domain -π<x<π, at what interval(s) is the function f(x)=sinx negative?
  1. 0<x<π
  2. -π<x<0
  3. -12π<x<12π
  4. -π<x<-12π,12π<x<π
Grade 10 Trigonometry CCSS: HSF-IF.C.7c
What is the period of the function y = sin(3x)?
  1. 2π/3
  2. π/3
  3. 2π
  4. 2π/9
Grade 10 Trigonometry
What are the locations the vertical asymptotes of y=12cot(2x)+1, x∈[-π,π]?
  1. x=0
  2. x=-2,-1,0,1,2
  3. x=-π,0,π
  4. x=-π,-π2,0,π2,π
Grade 10 Trigonometry CCSS: HSF-IF.C.7c
Which of the following identities is true for all values of θ?
  1. sin(θ + π/2) = cos(θ)
  2. cos(θ + π/2) = tan(θ)
  3. tan(θ + π/2) = -cot(θ)
  4. cot(θ + π/2) = -tan(θ)
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