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Properties of Trig Functions (sin, cos, tan) (Grades 11-12)

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Properties of Trig Functions (sin, cos, tan)

1. 
What is the period of the sine function?
  1. [math]pi[/math]
  2. [math]2pi[/math]
  3. [math]1/2pi[/math]
  4. [math]4pi[/math]
2. 
The sine function is
  1. even.
  2. odd.
  3. either.
  4. neither.
3. 
What is the period of the cosine function?
  1. [math]pi[/math]
  2. [math]2pi[/math]
  3. [math]1/2pi[/math]
  4. [math]4pi[/math]
4. 
The cosine function is
  1. even.
  2. odd.
  3. either.
  4. neither.
5. 
What is the period of the tangent function?
  1. [math]pi[/math]
  2. [math]2pi[/math]
  3. [math]1/2pi[/math]
  4. [math]4pi[/math]
6. 
The tangent function is
  1. even.
  2. odd.
  3. either.
  4. neither.
7. 
State the amplitude of the function [math]y=1/3cos(x-2)[/math].
  1. [math]1/3[/math]
  2. [math]pi[/math]
  3. [math]-2[/math]
  4. [math]-pi[/math]
  5. none of these are correct
8. 
Given the domain [math]-pi < x < pi[/math], at what interval(s) is the function [math] f(x)=cos(2x)[/math] negative?
  1. [math]-3/4pi < x < -1/4pi, 1/4pi < x < 3/4pi[/math]
  2. [math]-pi < x < 0,0 < x < pi[/math]
  3. [math]-1/2pi < x < 1/2 pi[/math]
  4. [math]-1/2pi < x <0,1/2pi< x< pi[/math]
9. 
Given the domain [math]-pi < x < pi[/math], at what interval(s) is the function [math]f(x)=sinx[/math] negative?
  1. [math]0 < x < pi[/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]
10. 
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]
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