HW 1 – 5: Trig Graphs
!
!
Name_____________________
Graph 1 period for each function. Be sure to include the y axis and the amplitude.
1. y = sin ( x ) !
2. y = − 2sin ( x )
x!
⎛
π⎞
3. y = 2sin ⎜ x − ⎟ !
⎝
4⎠
x
4.
⎛
π⎞
y = 3sin ⎜ x + ⎟
⎝
2⎠
x!
5.
⎛ x⎞
y = 4 sin ⎜ ⎟ !
⎝ 2⎠
6. y = 3sin (2x )
x!
Math 400 HW 1– 5 !
x
Page 1 of 6!
x
© 2016 Eitel
7.
1
y = csc ( x ) !
2
8. y = −2 csc ( x )
x!
3π ⎞
⎛
9. y = 3csc x +
!
⎝
2⎠
x
10.
π⎞
⎛
y = csc x −
⎝
2⎠
x!
11. y = csc
⎛ x⎞
!
⎝ 3⎠
12.
x!
Math 400 HW 1– 5 !
x
Page 2 of 6!
y = csc
⎛ 2x ⎞
⎝ 3⎠
x
© 2016 Eitel
13. y = cos ( x ) !
14. y = −cos ( x )
x!
π⎞
⎛
15. y = 2cos x +
!
⎝
2⎠
x
16.
y = cos ( x ) + 1
x!
⎛ x⎞
17. y = 2cos ⎜ ⎟ !
⎝ 4⎠
18.
x!
Math 400 HW 1– 5 !
x
Page 3 of 6!
y = 2cos (2x )
x
© 2016 Eitel
19. y = 2sec ( x ) !
!
20. y = −3sec ( x )
x!
21. y = 2sec ( x + π ) !
x
22.
3π ⎞
⎛
y = sec x −
⎝
2⎠
x!
23. y = sec
⎛ x⎞
!
⎝ 2⎠
24. y = − sec (2x )
!
x!
Math 400 HW 1– 5 !
x
Page 4 of 6!
x
© 2016 Eitel
25. y = tan ( x ) !
26. y = 4 tan (− x )
x!
27. y = 2tan ( x − 2π ) !
x
!
28. y = 4 tan ( x ) + 3
x!
29. y = 5tan
⎛ x⎞
!
⎝ 8⎠
!
x!
Math 400 HW 1– 5 !
x
Page 5 of 6!
30. y = 2tan ( 3x )
x
© 2016 Eitel
31. y = cot ( x ) !
32. y = cot (−x )
x!
33. y = 2cot ( x + π ) !
x
34.
π⎞
⎛
y = 3cot x −
⎝
2⎠
x!
35. y = cot
⎛ x⎞
!
⎝ 3⎠
36. y = cot ( 4 x )
x!
Math 400 HW 1– 5 !
x
Page 6 of 6!
x
© 2016 Eitel