solve-the-given-problems-sketch-the-graph-of-y2-sin-xsin-2-x0-leq-x-leq-2-pi-check-the-graph-on-a--2

Question

Solve the given problems.
Sketch the graph of $y=2 \sin x+\sin 2 x(0 \leq x \leq 2 \pi) .$ Check the graph on a calculator.

Joseph Lentino · Accepted Answer

So let&#x27;s get a good graph of sign of X first somebody graph y equals the sign of X in black here, and we&#x27;ll see that, Remember? 1234 We&#x27;ve got pi over two pi three pi over to two pi A standard cycle is gonna go from 0 to 2 pi. It&#x27;s gonna have a range from negative 1 to 1. And from graph in your unit circle points, we&#x27;re gonna end up with a nice, simple graph that looks like this. And when we craft the coasts, Eakin of acts were looking for all of the reciprocal values. So in this particular case we have, it&#x27;s undefined. Zero when the reciprocal of one is one, the reciprocal of negative one is negative. One. The closer I get to zero, the reciprocal will closer. It will get to infinity. So that&#x27;s what Backdraft looks like. And what we have here is we&#x27;re looking for all the values in which of the same, so they will always be the same when my ex value might. When my range values my Y values are one or negative one. So it&#x27;s going to happen at pi over two plus every two pi n What does that mean? That means each cycle is two pi. So the graph continues to repeat over and over and over again. So puffin we started pi over two and keep rotating in either direction and could be positive or negative imagers so we can go to the right or to the left and three pi over two plus two pi n again, every cycle continuing to the right and every cycle continuing to the left. These will be all of the values in which

Linh Vu · Answer

And it was to scan the ground of by coaches sigh inversion that it&#x27;s not you but the expert to in the money sturgeon to energy that first I was scared of gravel The same buzz on the X. Yes, I am the minus one. Uh, then months Julia, one Jew doesn&#x27;t will be by out of ju minus pi Another job. So the grandma under sile inversion the X will be s for in here. Additionally, that sign those on the X and now for the science worse off the X number of Judaism would be the house and totally. It&#x27;s just by the factor off Jew. They&#x27;re far we should get this will be standing on your head and go on the white. Yeah, yeah, And this will be this in those on the ANC&#x27;s down with you

Micah Hurewitz · Answer

for this question, we&#x27;re graphing the function. Why equals the absolute value of sine X? We&#x27;re gonna be graphing two periods from negative to pie to positive two pi. So with starter graph. So we have negative two pi and positive two pi because we have absolute value, we will not be using the negative side of the graph. We&#x27;re not gonna be going below the X axis. So for r sine function, we know that our maximum is going to be one, and that will not change with absolute value. So first, let&#x27;s just draw r sine function. Let&#x27;s start a negative two pi. So we come up and then we cross here. This would be at negative pie, but instead of going below the X axis, we&#x27;re just going to repeat this pattern above the X axis because the part below would look like this. And we are just flipping it above the X axis because of absolute value. And then the remainder pretty much looks the same. We come up and then we cross here. This would be at high, and then normally we would go below down to negative one. But instead we&#x27;re going back up a positive one and then down to this point at two pi. So this would be at three pie halves one. And this would be at High House one like normal. But we&#x27;re taking all of our negatives and making them positive. So all of this we would not be using were flipping it above the axis, so that will be our answer.

Weston Bell-Geddes · Answer

it&#x27;s hard to ask to graft the function. Why&#x27;s he with the sign of experts to x from the interval from 0 to 2 pi and sketch the graph? So the first thing I&#x27;m gonna do is we&#x27;re gonna talk about what this might look like. So this is as we know, this is conversing a swirly line. Kind of like that starts. Looks like that, right? So now that we know, let&#x27;s find the base craft. Well, what&#x27;s this time? This is telling us, All right, it&#x27;s actual plus two actual. There&#x27;s some sort of, um, stretching that&#x27;s going on there. Let&#x27;s talk about that. So if we go ahead and we start our graph of this function, which I would like to do Ah, where are we going to start? Wo worst told from the interval of 0 to 2 pi. So we&#x27;re gonna go ahead and start at zero. So if we started zero Well, I&#x27;ll just make a red dot there. Where is it? We&#x27;re gonna go up first. We&#x27;re gonna go up to pi over six and one Piracy. Come on, one, then we&#x27;re going to go. Well, it&#x27;s going to go ahead and cross the X axis again. A pie over three that is going to go to a pie over too. Uh, negative or private, you come on. Negative one. Right then. Two pi over 32 pi over three commas here. It&#x27;s not across the exact again. Then it&#x27;s gonna goto pi pi, comma zero or I just use me. That&#x27;s gonna go back up. It&#x27;s gonna go back up to five. Pirates six come a one man is gonna goto pie, comma zero that&#x27;s gonna go to it&#x27;s gonna go back down to seven pi over six. Coming negative one just like that. Then back here, you could start to see this pattern right. Trying to seize zigzag pattern here. There&#x27;s no three ply over to come on one than five pilot, three comma 0 11 pirates, six comma one and two pot. That&#x27;s where it ends. So now I&#x27;m gonna go ahead and start drying, which I&#x27;ll do my best to do here, and it starts to look like this. As you can see, it starts to look like a sine function a very beautiful sine function, and we&#x27;re almost done and we&#x27;re done. And this is our graph of the function. This is a graph of wisely with using sign of X plus two

Ankit Gupta · Answer

migration. Behalf who signed X Plus Go Sign X. It&#x27;s called a zero. So the next time we can write to sign X Bless one over signings equal to zero my next to begin right sign ICS Who will sign a Squire? X plus one. It&#x27;s called little zero. So in its state began Right Who? Sinus one X plus one called +00 multiplied by sine eggs. So to sign a square X plus one called zero solving this quarter dick equation, we have no solution. Hence this question. Have no solution.

Problem

Solve the given problems. Find the equation of th…

Problem 8 Easy Difficulty

Solve the given problems.
Sketch the graph of $y=2 \sin x+\sin 2 x(0 \leq x \leq 2 \pi) .$ Check the graph on a calculator.

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