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Find the amplitude (a) and period (T) of the following function. s(t) = 6 sin (8601t ~ 9)(Simplify your answer:)...

Question

Find the amplitude (a) and period (T) of the following function. s(t) = 6 sin (8601t ~ 9)(Simplify your answer:)

Find the amplitude (a) and period (T) of the following function. s(t) = 6 sin (8601t ~ 9) (Simplify your answer:)



Answers

Find the amplitude and period of the function, and sketch its graph. $$ y=-3 \sin 6 x $$

Solution for the game. Question solution. Now look at that given question. The Given Questions Signer cause Former toe help the check to find out period and AMP. Later amplitude. So they given cautions a sign. So right on the sign. Standard phone Why is equal to D plus in Sign off, Vieques Manistee Now the card. The question right, I'm the given question. My music culture. This is the question I compared. This equations both the equation. I don't ABC devalue A Valley is one by four. The value is B X. I can right here, one basics index The question sine X basics. I can write one basics into X, so be well is one basics. See value zero anyhow. D also will become the zero now, period. The family for period is the culture to pay a divided by B. Now substitute the B value that is equal to pi. Divided by B valleys. One basics now numerous right as it is denominator. We get reciprocal if right into that means toe buy into six, divided by one at six. So 6 to 12 12 pies for the period of the given question is equal to 12 by now. Right on them. Play to your I'm pleased you'd the family for amplitude. ISS Model s. Yeah. Now is equal to more or less. Look at the value of feei is one day four is one before I don't is equal to one before I'm good s on before.

The solution for the given question, this solution flickered the question. What is in the most sign? So I'm reading the formula for saying to find out period and amplitude. Why is they call tune D Plus a sign off the X minus C. Now look at the question on Right on the question. I'm writing the question. This is the question. Now compare the question on Right on ABC. Devalue any whole day. Zero a value is equal to one developed by five b is equal to six. See on devalues zero. No, we can find out, Period and Emperor with help off the about value on the family period, the family for the period is took pipe diverted by be that is equal to numerator. As that is, you can write toe right diverted by or is the value of B? Look at the value of B is six So that is a culture to one's two threes. So one way three into pie we can write as five Development three. Now I amplitude I amplitude the formula for the amplitude is stratum heading amplitude. The formula for amplitude is model is here. Look at the value off that is equal to one by five. The value off here is one by five more or less, one divided by five that is equal to one by five. So the models off, given questioners.

For this question, we are figuring out the amplitude and the period of the function y equals six. Sign high ex. So here is our vertical stretch vertical stretch by a factor of six. And in the parentheses we have a horizontal shrink by a factor of Hi. So if the amplitude of sine X is one than the amplitude of six, sign ax is sex. And because we are shrinking the period were shrinking. The graph by pi the period gets shrunken by high as well. So if ah, typical period of six sine x or sine x is true pie, uh, this shrink then makes the period

We're going to do problem number 26 discussion ordered to do we have to just draw the graph. OK, off the function. That is why equals 26 Sign to buy three Tita to buy three theater. Okay, We have to also talk about its superior and amplitude. So let us talk about its period first. Okay? The period off sine function we know is two pi on here to buy threes multiplied, so we will multiply the reciprocal of two by three to the period to get the exact period. So we're going to multiply three by two. That is, there is a burger of two bathrooms to buy three. Okay, so too will get cancel out. And we're going to have a period that is three by here now talking about its amplitude. Amplitude off sine function is one. Here, sixties, multiplied, toehold, same function. So one into six that will become six amplitude here it will become six. Now we're going to just discuss the graph. Let's say this is why access supposedto why is managed by access. This is X axis apposite to access many sex sex is OK, so the period is three by. So we're going to market three by half of three. Pie will be 1.5 by or you can say three by two pilots. Depends on you. What you are going to write. So here, this will become man. It's 1.5 by on her. It will become manners. Three pie as it is in the negative X axis. Okay, so now writing the amplitude are marking the amplitude. This is six on salmon. Oppose it. This will be minus six. We could just draw the graph from here easily. We have all the parameters on our graph now, so our graph will look something like this. Okay, so this is the graph off function. That is why it Cause of six. Sign grew by three. Tita, this is the graph. Okay, The upper point, which is stretching it has extreme value. Six. The lower point is manner. Six minutes. Maximum value. Six plus six men. Minimum value minus six. So this is the answer for this question. Thank you very much.


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