Find the amplitude, maximum and minimum and period of y=3sin1/3x and y=tan2x
by 
calmkissedpeach
ANSWERS: 4
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I'm very confused. *sign*
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Only you are going to find it out for yourself. No one else will. http://www.themathpage.com/aTrig/graphs-trig.htm http://www.intmath.com/Trigonometric-graphs/Trigo-graph-intro.php http://www.google.co.nz/search?hl=en&client=firefox-a&rls=org.mozilla:en-US:official&hs=gId&sa=X&oi=spell&resnum=0&ct=result&cd=1&q=trigonometry+graphs&spell=1
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Dear calmkissedpeach, I checked your profile. All of the questions you have asked appear to be directly from a text book and/or a homework sheet. Please do your own homework. If we all had to suffer through it sans AB, well my dear, so do you. If you want help understanding the CONCEPT, ask for someone to help explain it to you, but don't expect folks here to provide you with the answer. We won't be there to take the test for you, so in the long run, you are better off learning this yourself.
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The amplitude is the name given to the vertical dilation factor. The maximum is the highest value, the minimum is the lowest. To find the maximum, let the value of sin(1/3x) be a maximum. Then multiply through. For the minimum, let the sin(1/3x) be a minimum, and multiply through. The period of a sinusoidal function is (2pi)/n, where n is the horizontal dilation factor. For a tangent function, the concept of amplitude isn't the same as that of the sinusoidal function, nor the maximum or minimum. The period is similar, except instead of (2pi)/n it equal to pi/n. This is because the tangent function repeats itself (is periodic) over half a circle, rather than a full one.
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