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# Common Core Standard HSF-TF.A.2 Questions

Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

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Grade 10 Trigonometry CCSS: HSF-TF.A.2
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. $tan theta = -1/4$
Grade 10 Trigonometry CCSS: HSF-TF.A.2
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. $cos theta = -1/4$
Grade 10 Trigonometry CCSS: HSF-TF.A.2
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. $sin theta = sqrt(34)/5$
Grade 10 Trigonometry CCSS: HSF-TF.A.2
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. $tan theta = 3/4$
Grade 10 Trigonometry CCSS: HSF-TF.A.2
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. $cos theta = 3/4$
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