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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 $sintheta>0$ and $costheta<0$, where is $theta$ located?
3.
If $tantheta>0$ and $costheta<0$, where is $theta$ located?
4.
If $theta$ is the angle formed between a line from the origin to the point $(-1,-4)$ and the $x$-axis, find $cos theta$.
1. $cos theta = -4/sqrt(17)$
2. $cos theta =- 1/sqrt(17)$
3. $cos theta = 4$
4. $cos theta = -1/4$
5.
If $theta$ is the angle formed between a line from the origin to the point $(-1,-4)$ and the $x$-axis, find $tan theta$.
1. $tan theta = -4/sqrt(17)$
2. $tan theta =- 1/sqrt(17)$
3. $tan theta = 4$
4. $tan theta = -1/4$
6.
If $theta$ is the angle formed between a line from the origin to the point $(4,3)$ and the $x$-axis, find $tan theta$.
1. $tan theta = 4/3$
2. $tan theta = 3/5$
3. $tan theta = 4/5$
4. $tan theta = 3/4$
7.
If $theta$ is the angle formed between a line from the origin to the point $(4,3)$ and the $x$-axis, find $cos theta$.
1. $cos theta = 4/3$
2. $cos theta = 3/5$
3. $cos theta = 4/5$
4. $cos theta = 3/4$
8.
If $theta$ is the angle formed between a line from the origin to the point $(-3,5)$ and the $x$ axis, find $sin theta$.
1. $sin theta = 5/sqrt(34)$
2. $sin theta =- 3/sqrt(34)$
3. $sin theta = -2/5$
4. $sin theta = sqrt(34)/5$
9.
If $theta$ is a reflex angle and $tantheta=-4/3$, then $sintheta=$
1. $-3/5$
2. $-4/5$
3. $5/3$
4. $5/4$
10.
If $0deg <= a <= 180deg$, and $sin(a) = cos(a)$, then $a$ is equal to which of the following?
1. 60°
2. 150°
3. 45°
4. 90°
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