On the interval 0 is less than or equal to x comma x is less than or equal to 2 pi , what are the x -intercepts of y is equal to sine x ?
Answer
A
0 , pi , and 2 pi
B
mathrm pi over 2 and 3 pi over 2 only
C
0 , pi over 2 , and 3 pi over 2
D
pi and 2 pi only
Explanation
The x-intercepts occur where y = sin x equals 0. On the interval from 0 to 2π, sin x is zero at x = 0, π, and 2π. Therefore, the correct choice is “0, π, and 2π.”
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