Name_____________________________________
HW 10.1
Date __________
Mrs. Chiarenza
Period ______
Graphing Sine and Cosine Curves
****ALL GRAPHS (including tables) MUST BE DONE ON GRAPH PAPER!!!!!*******
1. Sketch the graph of y = 3sin2x from 0  x  360. Answer the questions below.
a.) What is the period of the function?
b.) What is the largest value of 3sin2x?
c.) What is the range?
d.) For what values of x in the interval 0  x  360is 3sin2x = -3?
e.) Between what values in the interval 0  x  360 is 3sin2x increasing? decreasing?
1
cos x from  180  x  180. Answer the questions below.
2
a.) What is the period of the function?
1
b.) What is the largest value of cos x ?
2
c.) What is the range?
1
d.) For what values of x in the interval  180  x  180is cos x = 0?
2
1
e.) Between what values in the interval  180  x  180 is cos x increasing?
2
decreasing?
2. Sketch the graph of y =
3. Sketch the graph of y = 2cosx.
4. Sketch the graph of y = sin2x.
5. Determine the equation of the graph:
(A) y = cos2x
(B) y = 2cosx
(C) y = ½ cosx
(D) y = cos ½ x
6. Determine the equation of the graph:
(A) y = 2sin ½ x
(B) y = 2sin2x
(C) y =2cos ½ x
(D) y = 2cos2x
7. Determine the equation of the graph:
(A) y = -cos2x
(B) y = -cos ½ x
(C) y =-sin2x
(D) y = -2cos ½ x