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Describe and sketch the graphs of the equations given in Problems 1 through 30 .$x=sin y$...

Question

Describe and sketch the graphs of the equations given in Problems 1 through 30 .$x=sin y$

Describe and sketch the graphs of the equations given in Problems 1 through 30 . $x=sin y$



Answers

Sketching the Graph of a sine or cosine
Function, sketch the graph of the
function. (Include two full periods.)
$$
y=-\sin \frac{2 \pi x}{3}
$$

This question is asking us that we can find the solutions of sign of X 0.3 graphically by graphing Why a sign of X and Y is blink now. What we know over here is that given our two curves weaken, just consider this to be f of X and G of X. We would graph both equations and find the intersections of the curves, which would be the solution. So we know that the the why would simply be 0.3 because we are setting 0.3 equal to sign of Exeter graphing. Why a sign of X and Y 0.3 so graphing both of them will give us the solution.

It was. This item asks you to describe the relationship between the graphs of y equals sign of ETS and y equals Coast Side Bets. So let's first do a quick little sketch of those graphs set up too small planes, and we have the sign curve. So here is why equals side of thanks and we have the goes anchor. So here's why equals co sign of X, and I don't know if you have noticed this before, but the sign curve or the Coast Line graph is shifted is a phase shift of Cho Sang Graff. If you notice this, if I were to move, let's use a different color. I were to move the the what? This vertical here that y axis here. You see that we now have the co sign curve just just shifted Hi every two or knowing two degrees. So let's answer this by saying the co sign curve or the graph. Let's be specific. The graph of the co sign is phase shifted high over. This is pie over too pyre but you to the right

Here we have a rough sketch of the graph of y cual sign of X, and we're interested in solving the equation. Sign of X equals 0.3. So if we want to look at this graphically and locate our solutions graphically, we would go ahead and draw the line. Why equals 0.3? So we have a line at a height of roughly 0.3, and basically what we're saying is what X values would have a Y value of 0.3. So you might want to look at the graph that's given in your book because it's going to be a little bit more accurate than mine. But if we're looking for solutions, it looks like we have quite a few points of intersection between our sign graph and our horizontal line, and we can estimate those X values So it looks like we have one that's at about oh, maybe X equals 00.5. Maybe around three. The's Aaron Radiance, by the way, looks like maybe somewhere around six point something, maybe 6.5, and around 9.5 The's air rough estimates, based on not only just eyeballing from the graph but also based on having a rough sketch of the graph. Another one we have over here is maybe Oh, I skipped one. How about No, that's good about negative, um, three radiance and about negative 5.5 radiance. You can see the idea is you're just estimating the X values for each of those points that have a Y value of 0.3.

In this question here where given the function. Why equal to the minus. So I am the tube high and the three x from here. With this number, we can find a period under function. Actually two pi development to pie on the three. It was something faggot, including the three. And also the ability to it well. And when you go to the absolutely man is one you could you want. So we should be which is going to cry for you. Yeah Exhale. Why here? I suppose we have here will be one and minus one here. So because the period in question tree So it will make this one. We could too the tree here this week. Oh, to the sixth. This will include agenda 1.5 and then the cramp with the sign here A week ago it was starts from the origin and because of the minus. So you go. It will go down first, then go up. Didn't go down, Didn't go up. Go down. Have again. That is so That would be the girl from the minus side on the tube high out of three ex


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