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Trigonometric Functions and the Four Quadrants (Grades 11-12)

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Trigonometric Functions and the Four Quadrants

1. 
Which trig function(s) is/are negative in the second quadrant?
  1. secant
  2. tangent
  3. cosine
  4. all of the above
2. 
If [math]sintheta>0[/math] and [math]costheta<0[/math], where is [math]theta[/math] located?
  1. Quadrant 1
  2. Quadrant 2
  3. Quadrant 3
  4. Quadrant 4
3. 
If [math]tantheta>0[/math] and [math]costheta<0[/math], where is [math]theta[/math] located?
  1. Quadrant 1
  2. Quadrant 2
  3. Quadrant 3
  4. Quadrant 4
4. 
If [math]theta[/math] is the angle formed between a line from the origin to the point [math](-1,-4)[/math] and the [math]x[/math]-axis, find [math]cos theta[/math].
  1. [math]cos theta = -4/sqrt(17)[/math]
  2. [math]cos theta =- 1/sqrt(17)[/math]
  3. [math]cos theta = 4[/math]
  4. [math]cos theta = -1/4[/math]
5. 
If [math]theta[/math] is the angle formed between a line from the origin to the point [math](-1,-4)[/math] and the [math]x[/math]-axis, find [math]tan theta[/math].
  1. [math]tan theta = -4/sqrt(17)[/math]
  2. [math]tan theta =- 1/sqrt(17)[/math]
  3. [math]tan theta = 4[/math]
  4. [math]tan theta = -1/4[/math]
6. 
If [math]theta[/math] is the angle formed between a line from the origin to the point [math](4,3)[/math] and the [math]x[/math]-axis, find [math]tan theta[/math].
  1. [math]tan theta = 4/3[/math]
  2. [math]tan theta = 3/5[/math]
  3. [math]tan theta = 4/5[/math]
  4. [math]tan theta = 3/4[/math]
7. 
If [math]theta[/math] is the angle formed between a line from the origin to the point [math](4,3)[/math] and the [math]x[/math]-axis, find [math]cos theta[/math].
  1. [math]cos theta = 4/3[/math]
  2. [math]cos theta = 3/5[/math]
  3. [math]cos theta = 4/5[/math]
  4. [math]cos theta = 3/4[/math]
8. 
If [math]theta[/math] is the angle formed between a line from the origin to the point [math](-3,5)[/math] and the [math]x[/math] axis, find [math]sin theta[/math].
  1. [math]sin theta = 5/sqrt(34)[/math]
  2. [math]sin theta =- 3/sqrt(34)[/math]
  3. [math]sin theta = -2/5[/math]
  4. [math]sin theta = sqrt(34)/5[/math]
9. 
If [math]theta[/math] is a reflex angle and [math]tantheta=-4/3[/math], then [math]sintheta=[/math]
  1. [math]-3/5[/math]
  2. [math]-4/5[/math]
  3. [math]5/3[/math]
  4. [math]5/4[/math]
10. 
If [math]0deg <= a <= 180deg[/math], and [math] sin(a) = cos(a)[/math], then [math]a[/math] is equal to which of the following?
  1. 60°
  2. 150°
  3. 45°
  4. 0°
  5. 90°
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