Answer: To estimate the value of csc 120° using the graph of y = csc x, we can locate the point on the graph that corresponds to 120° and read the y-coordinate (csc value) from there.
On the graph of y = csc x, we observe that the csc value is undefined at x = 0° and x = 180° due to vertical asymptotes. Additionally, csc x has maximum and minimum points at multiples of 90°.
To estimate csc 120°, we can look for the nearest maximum or minimum point on the graph. The closest maximum point to 120° is at 90°, and the closest minimum point is at 180°.
Since the maximum value of csc x is 1, we can estimate csc 120° to be approximately 1.
Therefore, the estimated value of csc 120° is 1 (rounded to the nearest tenth).
Explanation: