Right Triangle Trig Evaluating Ratios

[Pages:4]Kuta Software - Infinite Algebra 2

Name___________________________________

Right Triangle Trig. - Evaluating Trig. Ratios

Date________________ Period____

Find the value of the trig function indicated.

1) sec

15

8 17

2) sec

13

5 12

3) cot

3

4

5

4) csc

8

15

17

5) csc 8

16 2

24

6) cos

7

14 2

21

7) cot

25 15

20

9) tan

10 6

8

11) tan

5

4

3

8) tan

24

22

2 23

10) cot

4

25

6

12) cot

12

24 12 5

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Worksheet by Kuta Software LLC

13) tan

14) sin

25 24

7

6

13

7

Find the value of each. Round your answers to the nearest ten-thousandth.

15) cos 10?

16) sin 60?

17) csc 21?

18) cos 60?

19) tan 40?

20) csc 59?

21) csc 56?

22) cot 65?

23) tan 10?

Find the value of the trig function indicated. 3

25) Find csc if tan = 4

24) tan 25? 26) Find cot if sec = 2

4 27) Find tan if sin =

5

5 28) Find cot if sec =

4

3 13 29) Find sec if sin =

13

12 30) Find cot if sin =

13

Critical think questions:

31) Draw a right triangle that has an angle with a tangent of 1.

32) What is the slope of the hypotenuse for #9? How does that compare to tan ? Why?

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Name___________________________________

Right Triangle Trig. - Evaluating Trig. Ratios

Date________________ Period____

Find the value of the trig function indicated.

1) sec

17

15

15

8 17

2) sec

13

12

13 12

5

4

3) cot

3

3

4

5

4) csc

17

8 15

15

17

5) csc

32

8

4

16 2

24

6) cos

7

14 2

21

22 3

7) cot

25

20

4 3

15

3 9) tan

4

10 6

8

11) tan

5

4

3 4

3

8) tan

11 23 23

24

22

2 23

5

10) cot

25

2

4 6

12) cot

12

1

24

2

12 5

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Worksheet by Kuta Software LLC

7 13) tan

24

6 14) sin

7

25 24

7

6

13

7

Find the value of each. Round your answers to the nearest ten-thousandth.

15) cos 10? 0.9848

17) csc 21? 2.7904

19) tan 40? 0.8391

21) csc 56? 1.2062

23) tan 10? 0.1763

Find the value of the trig function indicated.

35 25) Find csc if tan =

4 3

16) sin 60? 0.8660

18) cos 60? 0.5000

20) csc 59? 1.1666

22) cot 65? 0.4663

24) tan 25? 0.4663

3 26) Find cot if sec = 2

3

44 27) Find tan if sin =

5 3

54 28) Find cot if sec =

4 3

3 13 13 29) Find sec if sin =

13 2

12 5 30) Find cot if sin =

13 12

Critical think questions:

31) Draw a right triangle that has an angle with a tangent of 1. Any right isosceles triangle.

32) What is the slope of the hypotenuse for #9? How does that compare to tan ? Why?

3 It's the same as tan since rise/run = opp/adj

4

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at

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Worksheet by Kuta Software LLC

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