solve-the-given-problems-using-a-calculator-a-display-the-graph-of-ysin-x-x-to-verify-that-sin-the-3

Question

Solve the given problems.
Using a calculator: (a) display the graph of $y=(\sin x) / x$ to verify that $(\sin 	heta) / 	heta ightarrow 1$ as $	heta ightarrow 0,$ and (b) verify the values for $(\sin 	heta) / 	heta$ in the table on page 806

Katelyn Chen · Accepted Answer

they asked us all the falling to Ringo. Use any table form so it&#x27;s are a little too strong other people. So we only need to find the angles. Sorry. In so based off of that we can, you know, that are different angles. We have ankles. Really? If you know 30 degrees B which we do not know yet see which we do not know yet then we have size a which we don&#x27;t know yet the which we don&#x27;t know yet and see which is to go 296 centimeters. Doctor, would you? No ankle? See? It is 90 degrees and so first. Well, we can start by finding and GOP so another angle B is equal to 180 police minus 30 degrees minus nine degrees which gets us 180 minus 1 20 which gets a 60 degrees in Gobi. So now that we have found all the angles we can use are treatment magic identities to find everything else. So first of all, when we can first find a so we have signed off, a 30 is equal to opposite over adjacent do that A is equal to sign of 30 turns 196 and that will get us so we can pluck that ensure calculator. So you sign of 30. It&#x27;s 196 which gets us A is equal to 98. So we heard 98 and last Not least so, for, you know, is equal to 98. Then when we saw for B does use the Pythagorean idiom. So we have a squared plus B squared people to see square. So we know that 98 squared plus B squared is equal to 196 squared. So it&#x27;s attractive 196 scored from 98 squared. That will get us. He scored equal 269.7. We&#x27;re sorry we scored is equal to to 20,812 So therefore B is equal to 169.74 approximately. So get beat. Does he go to 169? 169 0.74 This is our answer

Katelyn Chen · Answer

we&#x27;re off us to solve this triangles first won&#x27;t let us make a table. So we have angles on one side and her sides on the butter. So we got a is equal to 60 degrees. Don&#x27;t know angle B is equal to another, you know seems to go to nine degrees You know that the side A is equal to 420 feet gonna be It&#x27;s an unknown in the side See Isn&#x27;t unknown to start off which we can solve for and go pick So you know that angle B 180 graze My six figure is my side of degrees which gets us 180 My eyes 150 which cases? 30 degrees a single bee. And so next we can solve our order sides using our tribune metric identities. So, first of all, we know that see sign of 60 is equal to our ops over hypothermia. So we have 420 oversee. So we have state times sign of 60 to put your 420 Do you see as you go to 420 divided by sine 60 which gets us see is equal to 400 a 4.97 approximately. So next Because we know that this is a 30 60 90 triangle. We know that to be able to see, so we know that to be a scene with your 484.97 So we know that okay is equal to approximately 242 points for nine, and so this is a cancer.

Katelyn Chen · Answer

all in triangle, whereas to solve it. So start office. We can take our table of values so we know that ankle A is an unknown and go basically to 45. To place an angle seems to go to 90 degrees, and then you do not know what is able to know that be. It&#x27;s able to 9.9 millimeters. That would you don&#x27;t know. It seems equal to so the side off first with himself angle a just able to 180 My understanding, what, 45 years and triangle something which gets us single A to be equal to 45 degrees. And so next. You know that because this is a 45 foot five million triangle way of that A is equal to be. And because we know that B is equal to 98.9 millimeters was another A is equal to 9.9 million years next, because it&#x27;s a 45 45 many tranquil, we know that C is equal to the square to to a so you know that a is equal to 9.9, so we must find 9.9 by square root of two we will get C is approximately equal to 14. Your readers and so this is our answer

Katelyn Chen · Answer

given a fallen during over assets, all for it. So start off what we can make our table values that we will part answer sensually of angles that size. So he Okay, so you know that Ingo A is an unknown and GOP it&#x27;s legal to 45 degrees angle stands equal to 90 degrees. We have something that side a is an unknown Sorry b is equal to 81.9 meters inside See is an unknown And so I start off with this offer angle a straight angle a using trickle Santeria is able to win a t minus 45 My sandy which gets us 45 degrees angle A Next we can recognize This is 45 45 million triangle. Because of this, a single to be gonna be is he was 81.9 meters. So we know that that is what is equal to actually that c is equal to screw the two tons. Very. And so you know that in this case sees able to skirt a to 81.9 meters. And so for pasta and to our calculator you will get see it&#x27;s approximately equal to 115.82 meters and so that&#x27;s my answer

Amy Jiang · Answer

Okay, so we want to find their corresponding data value, which is between zero and 3 60 degrees. So it&#x27;s not that this term is in degrees. So we want to solve for data value. Bullets across line is equal to y over our our our value is always positive. And in this case, since sign is positive or y values positive. So we see that why is positive in two regions in quadrant one and watch it too. Okay, so let&#x27;s solve for data here, so we&#x27;re gonna take sine inverse herbal sides. Okay, so let&#x27;s put this into our calculator. This is going to give us our data value in quadrant one. So this is 10.412 98643 So we see that this is approximately 24 points 39 degrees on. We want to find our angle in quad it too. So we&#x27;re gonna take 180 degrees and subtract or value in quoted one. So you get that data is equal to 1 80 minus 24 points. 39 degrees. So we see that this year is approximately 155.61 degrees, so we have two angles. Data is approximately in 24.39 degrees or 155.61 degrees.

Problem

Solve the given problems. Evaluate $\left.\lim _{…

Problem 37 Easy Difficulty

Solve the given problems.
Using a calculator: (a) display the graph of $y=(\sin x) / x$ to verify that $(\sin \theta) / \theta \rightarrow 1$ as $\theta \rightarrow 0,$ and (b) verify the values for $(\sin \theta) / \theta$ in the table on page 806

Answer

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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Basic Technical Mathematics with Calculus

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Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Catherine R.

Anna Marie V.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus