ACT Question of the Day Explanation - Saturday, August 10th, 2013

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1

<p>I'm fairly confident in the ACT math section (scored a 34 in June), but today's question of the day is bothering me. To be specific, the explanation they gave me for the question is confusing. I figured if I posted the question here some of you mathematical "savants" could provide a clearer explanation. </p>

<p>Link to the question: ACT</a> Question of the Day for Saturday, August 10, 2013</p>

<p>Over all real numbers x, what is the maximum value of 4 sin 3x ?
F. 1</p>

<p>G. 2pi/3</p>

<p>H. 3</p>

<p>J. 4</p>

<p>K. 12</p>

<p>The correct answer is J.</p>

2

<p>The value of Sine is always between 0 and 1 or 0 and -1. Therefore, because the max value of sine would be 1: 4x1 is 4. So four is your answer. You dont even need to reguard the 3 although, you should know that sine of 90° is 1. so x would be 33.3 repeating, if you had to solve for x.</p>

3

<p>Oh, yeah. Sine falls between 1 and -1. Duh! </p>

<p>Thanks for the help.</p>

4

<p>No problemo.</p>