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AssignmentMultiple Choice

Angles and Trigonometric Functions

Question 1 • IC Pre-Cal - Deering

Which domain window settings would be appropriate if you wanted to graph the function below in radians for exactly two periods?f(x) = cos(x)

Answer
A
Xmin = 0 Xmax = 720
B
Xmin = 0 Xmax = 2π
C
Xmin = –180 Xmax = 180
D
Xmin = –π Xmax = 3π

Explanation

The cosine function has a period of 2π radians, so two periods span 4π radians. The interval from −π to 3π has length 3π − (−π) = 4π, which shows exactly two periods. Therefore, the appropriate settings are Xmin = −π and Xmax = 3π, choice D.

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