TRIG WORKSHEETmsubmathing.weebly.com/uploads/3/8/0/6/38068469/unit_7... · 2018. 9. 10. · Unit...
Transcript of TRIG WORKSHEETmsubmathing.weebly.com/uploads/3/8/0/6/38068469/unit_7... · 2018. 9. 10. · Unit...
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TRIG WORKSHEET—ANGLES NAME __________________ Attach work to the back of this sheet. I. Sketch each of the following angles in standard position.
1. 150o 2. 120o� 3. 74S
� 4. 23S
II. Determine the quadrant in which the terminal side of the angle lies. 5. 130o ________ 6. 336o� __________ 7. 285o ________
8. 260o� ________ 9. 22
3S
__________ 10. 75S
________
11. 17
3S
� ________ 12. 12S
� __________ 13. 3.5 ________
14. –1 _________ III. Give 2 coterminal angles, one positive and one negative for each of the following. 15. 34o ________ ________ 16. 45o� ________ ________ 17. 120o� ________ ________ 18. 300o ________ ________
19. 43S
________ ________ 20. 11
6S
________ ________
21. 76S
� ________ ________ 22. 4S
________ ________
IV. Express each of the following in radian measure. Leave your answer in terms of S . 23. 150o ________ 24. 315o ________ 25. 240o� ________ 26. 115o ________ 27. 345o ________ 28. 216o� ________
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V. Express each of the following in degree measure.
29. 59S
________ 30. 712S
� ________ 31. 11
5S
_______
VI. Find the angle in radian measure between 0 and 2S which is coterminal with the following.
32. 11
4S
________ 33. 23
4S
________ 34. 31
6S
________
35. 40
3S
________ 36. 19
3S
� ________ 37. 121S ________
38. 62
5S
________
VII. Find the reference angle for each of the following.
39. 2080 __________ 40. 74S
____________ 41. 14
5S
___________
42. – 2920 __________ 43. 53S
� ___________ 44. – 4450 ________
45. 13
9S
_________ 46. 5170 ___________ 47. – 1650 ________
48. 17
6S
__________ 49. 3220 ___________ 50. 12
7S
� ___________
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©m 32L0u1n1g ZKuuitpaP HSaoUfstgwMaPrWeE BLbL1CU.9 I bAelAle NrFiyghhOtsss arcelsdeqrvvYemdY.3 Q PMjaSdqen 0wTivtvhQ MI1n7fcipnTihtNeX 4Ajl8gieCb7rxay 921.I Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________Exact Trig Values of Special Angles
Find the exact value of each trigonometric function.
1) tan
θ
x
y
60°
3
2) sin
θ
x
y
225°
−
2
2
3) sin
θ
x
y
90°
1
4) cos
θ
x
y
150°
−
3
2
5) cos
θ
x
y
90°
0
6) tan
θ
x
y
240°
3
7) cos
θ
x
y
135°
−
2
28) tan
θ
x
y
150°
−
3
3
-1-
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©I I2c0g1N1L zK2uZt9aO IS6o7fItawYatr0ee 1LYL8Cz.v I vAZlplu Vr1iVgehUtDsR HrxeIsuejrRvdeedu.1 N 7MxaQdre3 bw1iYtxhF TIMncfHi5nQi1tUe6 bAZlegwe3b4rzaY r2n.w Worksheet by Kuta Software LLC
9) cos
θ
x
y
270°
0
10) tan
θ
x
y
225°
1
11) cos 270°
0
12) sin 0
0
13) cot
7
π
4
−1
14) csc
2
π
3
2 3
3
15) csc 225°
− 2
16) sin 300°
−
3
2
17) csc 90°
1
18) tan 240°
3
19) sin
π
4
2
2
20) tan 120°
− 3
21) tan
−13
π
6
−
3
3
22) cos −630° 0
23) cos 990° 024) csc
−31
π
62
25) csc
−5
π
6−2 26) cos
−17
π
3
1
2
27) sin
29
π
6
1
2
28) sec 945°
− 2
29) cos
−11
π
2
0
30) sin −2
π
0
-2-
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
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Unit Circle Worksheet A Name__________________ Period____________ Solve the following problems using your Unit Circle.
1) sin(90 )D 2) cos4
3) 5sin4 4) cos 135D
5) 5tan4 6) tan(180 )D
7) sin4 8) cos 90D
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Unit Circle Worksheet B Name__________________ Period____________ Solve the following problems using your Unit Circle.
1) sin(150 )D 2) 7cos6
3) 5sin6 4) cos 135D
5) 9tan6 6) tan(135 )D
7) sin3 8) cos 120D
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Unit Circle Worksheet C Name___________________ Period___________ The given point P is located on the Unit Circle. State the quadrant and find the angle , also sin , cos and tan .
1) 1 3,2 2
P 2) (0, 1)P 3) 2 2,2 2
P
Quad: Quad: Quad: sin : sin : sin :
cos : cos : cos : tan : tan : tan : Find the exact value of each function.
4) 7cos4
5) sin 30D 6) 2sin3
7) cos(600 )D 8) 9sin2
9) tan(7 )
10) 11cos4
11) sin 225D 12) tan(585 )D
13) cos(1440 )D 14) 13sin4
15) 23cos6