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Quiz Finding Trig Values Given a Point

Total questions: 14

Worksheet time: 2hrs 42mins

Name
Class
Date
1.

This work represents my own thinking. I neither gave nor received any assistance on this assessment.

a)

Yes, this work is all my thinking.

b)

No, it is not and I will take a score of 0.

2.

Name the quadrant the point is in:

 (13, 2)\left(-13,\ 2\right)  

a)

1

b)

2

c)

I

d)

II

e)

IV

3.

Name the quadrant the point is in:

 (35, 17)\left(3\sqrt{5},\ -\sqrt{17}\right)  

a)

1

b)

3

c)

I

d)

III

e)

IV

4.

Name the quadrant the point is in:

 (5, 2)\left(-\sqrt{5},\ -\sqrt{2}\right)  

a)

1

b)

3

c)

I

d)

III

e)

IV

5.

Find the value of tan θ\theta given the point

 (8, 17)\left(8,\ -\sqrt{17}\right)  

a)

 91717-\frac{9\sqrt{17}}{17}  

b)

 9130130\frac{9\sqrt{130}}{130}  

c)

 81717-\frac{8\sqrt{17}}{17}  

d)

 178-\frac{\sqrt{17}}{8}  

6.

Find the value of sin θ\theta given the point

 (2, 5)\left(2,\ -\sqrt{5}\right)  

a)

 103-\frac{\sqrt{10}}{3}  

b)

 31010-\frac{3\sqrt{10}}{10}  

c)

 1010\frac{\sqrt{10}}{10}  

d)

 53-\frac{\sqrt{5}}{3}  

7.

Find the value of cos θ\theta given the point

 (5, 11)\left(5,\ \sqrt{11}\right)  

a)

 61111\frac{6\sqrt{11}}{11}  

b)

 65\frac{6}{5}  

c)

 115\frac{\sqrt{11}}{5}  

d)

 56\frac{5}{6}  

8.

Find the value of sec θ\theta given the point

 (7, 3)\left(-\sqrt{7},\ 3\right)  

a)

 377-\frac{3\sqrt{7}}{7}  

b)

 34\frac{3}{4}  

c)

 477-\frac{4\sqrt{7}}{7}  

d)

 74\frac{\sqrt{7}}{4}  

9.

Find the value of cot θ\theta given the point

 (23, 2)\left(-2\sqrt{3},\ 2\right)  

a)

 3-\sqrt{3}  

b)

 37373\frac{3\sqrt{73}}{73}  

c)

 38-\frac{3}{8}  

d)

 32-\frac{\sqrt{3}}{2}  

10.

Find the value of csc θ\theta given the point

 (17, 8)\left(-\sqrt{17},\ 8\right)  

a)

 178-\frac{\sqrt{17}}{8}  

b)

 98\frac{9}{8}  

c)

 81717-\frac{8\sqrt{17}}{17}  

d)

 91717-\frac{9\sqrt{17}}{17}  

11.

Find the value of sec θ\theta given the point

 (9, 19)\left(-9,\ -\sqrt{19}\right)  

a)

 199\frac{\sqrt{19}}{9}  

b)

 101919-\frac{10\sqrt{19}}{19}  

c)

 910-\frac{9}{10}  

d)

 109-\frac{10}{9}  

12.

Find the value of sin θ\theta given the point

 (23,  2)\left(-2\sqrt{3},\ \ 2\right)  

a)

 3-\sqrt{3}  

b)

 33-\frac{\sqrt{3}}{3}  

c)

 233-\frac{2\sqrt{3}}{3}  

d)

 12\frac{1}{2}  

13.

Find the value of csc θ\theta given the point

 (4, 3)\left(4,\ 3\right)  

a)

 54\frac{5}{4}  

b)

 35\frac{3}{5}  

c)

 45\frac{4}{5}  

d)

 53\frac{5}{3}  

14.

Find the value of cot θ\theta given the point

 (13, 2)\left(13,\ 2\right)  

a)

 213\frac{2}{13}  

b)

 132\frac{13}{2}  

c)

 1732\frac{\sqrt{173}}{2}  

d)

 13173173\frac{13\sqrt{173}}{173}