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?
- secant
- tangent
- cosine
- all of the above
2.
If [math]sintheta>0[/math] and [math]costheta<0[/math], where is [math]theta[/math] located?
- Quadrant 1
- Quadrant 2
- Quadrant 3
- Quadrant 4
3.
If [math]tantheta>0[/math] and [math]costheta<0[/math], where is [math]theta[/math] located?
- Quadrant 1
- Quadrant 2
- Quadrant 3
- 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].
- [math]cos theta = -4/sqrt(17)[/math]
- [math]cos theta =- 1/sqrt(17)[/math]
- [math]cos theta = 4[/math]
- [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].
- [math]tan theta = -4/sqrt(17)[/math]
- [math]tan theta =- 1/sqrt(17)[/math]
- [math]tan theta = 4[/math]
- [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].
- [math]tan theta = 4/3[/math]
- [math]tan theta = 3/5[/math]
- [math]tan theta = 4/5[/math]
- [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].
- [math]cos theta = 4/3[/math]
- [math]cos theta = 3/5[/math]
- [math]cos theta = 4/5[/math]
- [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].
- [math]sin theta = 5/sqrt(34)[/math]
- [math]sin theta =- 3/sqrt(34)[/math]
- [math]sin theta = -2/5[/math]
- [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]
- [math]-3/5[/math]
- [math]-4/5[/math]
- [math]5/3[/math]
- [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?
- 60°
- 150°
- 45°
- 0°
- 90°
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