5
QuizMultiple Choice

Graphing Sine and Cosine — Quiz

Question 5 • Mathematics III

Which formula gives the x -coordinates of the maximum values for y is equal to cosine of x ?

Answer
A
k pi for any integer k
B
k pi over 2 for k is equal to 0 comma plus or minus 2 comma plus or minus 4 comma ...
C
k pi for k is equal to 0 comma plus or minus 2 comma plus or minus 4 comma ...
D
k pi over 2 for any positive integer k

Explanation

The cosine function reaches its maximum value, 1, whenever x is an even multiple of π: x = 2nπ for any integer n. Choice A, kπ for any integer k, also includes odd multiples of π, where cosine is −1, so it is not correct as written. Choice C states the even multiples of π and gives the correct formula.

AI-written and checked against the verified answer.

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