Free Printable PC S8.1 Trig Functions of Any Angle

1.

Name the quadrant for the angle with the following properties:

\sin\left(\theta\right)>0,\cos\left(\theta\right)>0

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

2.

Name the quadrant for the angle with the following properties:

\sin\left(\theta\right)>0,\cos\left(\theta\right)<0

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

3.

Name the quadrant for the angle with the following properties:

\sin\left(\theta\right)<0,\cos\left(\theta\right)<0

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

4.

Name the quadrant for the angle with the following properties:

\sin\left(\theta\right)<0,\cos\left(\theta\right)>0

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

5.

Name the quadrant for the angle with the following properties:

\sin\left(\theta\right)>0,\tan\left(\theta\right)>0

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

6.

Name the quadrant for the angle with the following properties:

\sin\left(\theta\right)>0,\tan\left(\theta\right)<0

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

7.

Name the quadrant for the angle with the following properties:

\sin\left(\theta\right)<0,\tan\left(\theta\right)<0

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

8.

Name the quadrant for the angle with the following properties:

\sin\left(\theta\right)<0,\tan\left(\theta\right)>0

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

9.

Name the quadrant for the angle with the following properties:

\cos\left(\theta\right)>0,\tan\left(\theta\right)>0

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

10.

Name the quadrant for the angle with the following properties:

\cos\left(\theta\right)>0,\tan\left(\theta\right)<0

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

11.

Name the quadrant for the angle with the following properties:

\cos\left(\theta\right)<0,\tan\left(\theta\right)<0

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

12.

Name the quadrant for the angle with the following properties:

\cos\left(\theta\right)<0,\tan\left(\theta\right)>0

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

13.

Find the exact value of cos(θ) if θ is in standard position and P (8, -15) is on the terminal side. (Hint: draw a picture!)

a)

-17/15

b)

17/8

c)

-15/17

d)

8/17

14.

Find the exact value of sin(θ) if θ is in standard position and P (8, -15) is on the terminal side. (Hint: draw a picture!)

a)

-17/15

b)

17/8

c)

-15/17

d)

8/17

15.

Find the exact value of csc(θ) if θ is in standard position and P (8, -15) is on the terminal side. (Hint: draw a picture!)

a)

-17/15

b)

17/8

c)

-15/17

d)

8/17

16.

Find the exact value of sec(θ) if θ is in standard position and P (8, -15) is on the terminal side. (Hint: draw a picture!)

a)

-17/15

b)

17/8

c)

-15/17

d)

8/17

17.

Find the exact value of tan(θ) if θ is in standard position and P (8, -15) is on the terminal side. (Hint: draw a picture!)

a)

-8/15

b)

-15/8

c)

-15/17

d)

8/17

18.

Find the exact value of cot(θ) if θ is in standard position and P (8, -15) is on the terminal side. (Hint: draw a picture!)

a)

-8/15

b)

-15/8

c)

-15/17

d)

8/17

19.

Find the exact value of cos(θ) if θ is in standard position and P (-3, -5) is on the terminal side. (Hint: draw a picture!)

a)

$-\frac{5\sqrt{34}}{34}$

b)

$-\frac{3\sqrt{34}}{34}$

c)

$-\frac{\sqrt{34}}{3}$

d)

$-\frac{\sqrt{34}}{5}$

20.

Find the exact value of sin(θ) if θ is in standard position and P (-3, -5) is on the terminal side. (Hint: draw a picture!)

a)

$-\frac{5\sqrt{34}}{34}$

b)

$-\frac{3\sqrt{34}}{34}$

c)

$-\frac{\sqrt{34}}{3}$

d)

$-\frac{\sqrt{34}}{5}$

21.

Find the exact value of csc(θ) if θ is in standard position and P (-3, -5) is on the terminal side. (Hint: draw a picture!)

a)

$-\frac{5\sqrt{34}}{34}$

b)

$-\frac{3\sqrt{34}}{34}$

c)

$-\frac{\sqrt{34}}{3}$

d)

$-\frac{\sqrt{34}}{5}$

22.

Find the exact value of sec(θ) if θ is in standard position and P (-3, -5) is on the terminal side. (Hint: draw a picture!)

a)

$-\frac{5\sqrt{34}}{34}$

b)

$-\frac{3\sqrt{34}}{34}$

c)

$-\frac{\sqrt{34}}{3}$

d)

$-\frac{\sqrt{34}}{5}$

23.

Find the exact value of tan(θ) if θ is in standard position and P (-3, -5) is on the terminal side. (Hint: draw a picture!)

a)

$-\frac{5\sqrt{34}}{34}$

b)

$-\frac{3\sqrt{34}}{34}$

c)

$\frac{3}{5}$

d)

$\frac{5}{3}$

24.

Find the exact value of cot(θ) if θ is in standard position and P (-3, -5) is on the terminal side. (Hint: draw a picture!)

a)

$-\frac{5\sqrt{34}}{34}$

b)

$-\frac{3\sqrt{34}}{34}$

c)

$\frac{3}{5}$

d)

$\frac{5}{3}$

25.

Find the exact value of cos(θ) given that sin(θ) = 5/13 and cot(θ) < 0. (Draw a picture‼)

a)

12/13

b)

-12/13

c)

5/13

d)

-5/13

26.

Find the exact value of tan(θ) given that sin(θ) = 5/13 and cot(θ) < 0. (Draw a picture‼)

a)

12/5

b)

-12/5

c)

-5/12

d)

5/12

27.

Find the exact value of sec(θ) given that sin(θ) = 5/13 and cot(θ) < 0. (Draw a picture‼)

a)

-13/12

b)

13/12

c)

13/5

d)

-13/5

28.

Find the exact value of cot(θ) given that sin(θ) = 5/13 and cot(θ) < 0. (Draw a picture‼)

a)

12/5

b)

-12/5

c)

-5/12

d)

5/12

29.

Find the exact value of sin(θ) given that tan(θ) = 5 and sin(θ) < 0. (Draw a picture‼)

a)

$-\frac{5\sqrt{26}}{26}$

b)

$-\frac{\sqrt{26}}{26}$

c)

$-\frac{\sqrt{24}}{24}$

d)

$-\frac{5\sqrt{24}}{24}$

30.

Find the exact value of sec(θ) given that tan(θ) = 5 and sin(θ) < 0. (Draw a picture‼)

a)

$-\frac{5\sqrt{26}}{26}$

b)

$-\frac{\sqrt{26}}{26}$

c)

$-\frac{\sqrt{26}}{5}$

d)

$-\sqrt{26}$

31.

Find the exact value of cos(θ) given that tan(θ) = 5 and sin(θ) < 0. (Draw a picture‼)

a)

$-\frac{5\sqrt{26}}{26}$

b)

$-\frac{\sqrt{26}}{26}$

c)

$-\frac{\sqrt{26}}{5}$

d)

$-\sqrt{26}$

32.

Find the exact value of csc(θ) given that tan(θ) = 5 and sin(θ) < 0. (Draw a picture‼)

a)

$-\frac{5\sqrt{26}}{26}$

b)

$-\frac{\sqrt{26}}{26}$

c)

$-\sqrt{26}$

d)

$-\frac{\sqrt{26}}{5}$

33.

Find the exact value of sin(θ) given that sec(θ) = -2 and sin(θ) > 0. (Draw a picture‼)

a)

$\frac{1}{2}$

b)

$\frac{\sqrt{3}}{2}$

c)

$\frac{2\sqrt{3}}{3}$

d)

$\frac{\sqrt{3}}{3}$

34.

Find the exact value of tan(θ) given that sec(θ) = -2 and sin(θ) > 0. (Draw a picture‼)

a)

$-\sqrt{3}$

b)

$\frac{\sqrt{3}}{3}$

c)

$-\frac{\sqrt{3}}{3}$

d)

$\sqrt{3}$

35.

Find the exact value of cot(θ) given that sec(θ) = -2 and sin(θ) > 0. (Draw a picture‼)

a)

$-\sqrt{3}$

b)

$\frac{\sqrt{3}}{3}$

c)

$-\frac{\sqrt{3}}{3}$

d)

$\sqrt{3}$

36.

Find the exact value of csc(θ) given that sec(θ) = -2 and sin(θ) > 0. (Draw a picture‼)

a)

$\frac{1}{2}$

b)

$\frac{\sqrt{3}}{2}$

c)

$\frac{2\sqrt{3}}{3}$

d)

$\frac{\sqrt{3}}{3}$

PC S8.1 Trig Functions of Any Angle

Total questions: 36

Worksheet time: 1hrs 24mins

Similar Resources on Wayground