Which statements correctly describe the cosine and sine functions? Check all that apply.The cosine function increases on (90°, 180°) and (270°, 360°).The sine function increases on (0°, 90°) and (270°, 360°).The cosine function decreases on (0°, 180°).Both the cosine and sine functions have a minimum value of 0.Both the cosine and sine functions have a maximum value of 1.Both the cosine and sine functions are periodic.
Answer
A
The cosine function increases on (90°, 180°) and (270°, 360°).
B
The sine function increases on (0°, 90°) and (270°, 360°).
C
The cosine function decreases on (0°, 180°).
D
Both the cosine and sine functions have a minimum value of 0.
E
Both the cosine and sine functions have a maximum value of 1.
F
Both the cosine and sine functions are periodic.
Explanation
The sine function increases on (0°, 90°) and again on (270°, 360°), so B is correct. The cosine function decreases throughout (0°, 180°), making C correct; it does not increase on (90°, 180°), so A is false. Both sine and cosine range from −1 to 1, so they share a maximum of 1 but not a minimum of 0. Both functions repeat their values periodically, so E and F are correct.
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