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kittiwitti1
 one year ago
SUBJECT TO EDITING.
Trig questions:
#1: Use 3.1416 for π unless your calculator has a key marked π.
Use a calculator to convert 1' (1 minute) to radians to three significant digits.
#2: Write the angle as a difference involving 2π. For example, 5π/3 = 2π − π/3.
7π/4
#3: If a central angle with its vertex at the center of the earth has a measure of 1', then the arc on the surface of the earth that is cut off by this angle (known as the great circle distance) has a measure of 1 nautical mile (see the figure below).
Find the number of regular (statute) miles in 1 nautical mile to the nearest hundredth of a mile. (Use 4,000 miles for the radius of the earth.)
kittiwitti1
 one year ago
SUBJECT TO EDITING. Trig questions: #1: Use 3.1416 for π unless your calculator has a key marked π. Use a calculator to convert 1' (1 minute) to radians to three significant digits. #2: Write the angle as a difference involving 2π. For example, 5π/3 = 2π − π/3. 7π/4 #3: If a central angle with its vertex at the center of the earth has a measure of 1', then the arc on the surface of the earth that is cut off by this angle (known as the great circle distance) has a measure of 1 nautical mile (see the figure below). Find the number of regular (statute) miles in 1 nautical mile to the nearest hundredth of a mile. (Use 4,000 miles for the radius of the earth.)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[1'={\frac{1}{60}}^{\circ}\] \[180^{\circ}=\pi \space rad\]\[1^{\circ}=\frac{\pi}{180} \space rad\]\[{\frac{1}{60}}^{\circ}=?? \space rad\]

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1I get 0.0002908...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How much you are getting?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and what is the answer they've given?

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1I mean, it says "3 sig figs" and that would give me basically 0?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Your answer is absolutely correct, you can eve google "minutes to radian conversion" I think zeros after a decimal don't count as significant unless they are after some other number, I might be remembering that wrong though

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1So... scientific notation?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What exactly did you write for your answer?

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1I'd done it wrong before lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So your found your mistake?

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1No... I'm not sure if this is the right answer, so I'd have to check and make sure. I'm not sure how many attempts I have left x_x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh, if you are giving an online test/exam, they sometimes require you to write in a particular way, but mathematically your answer is 100% correct

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1*puts in 0.000291* *gets right answer* WHAT.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I see your mistake now, why are you writing 2.91?? Write the answer that we found! 0.000290  upto 3 significant figures!

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1291. I had to round.

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1I'd put some entirely diff # before. lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0anyways for your next part we have

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.12π+3π/4 didn't work

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You want to express the following fraction in terms of 2pi \[\frac{\pi}{10800}\] So if you were to somehow split the numerator to express it as a sum of 2 fractions, you'd want 1 of the fractions to have a numerator of 2 times the denominator so that you get 2pi upon cancelling \[\frac{\pi}{a}=\frac{\pi(1)}{a}=\frac{\pi(1+bb)}{a}=\frac{b \pi+(1b)\pi}{a}=\frac{b \pi}{a}+\frac{(1b)\pi}{a}\] b is any arbitrary constant, we will choose b such that \[b=2a\] So substituting we get \[\frac{2a \pi}{a}+\frac{(12a)\pi}{a}=2\pi+\frac{(12a)\pi}{a}\] Here we have \[a=10800\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Did you get all that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yep Here we have a=10800 \[{\frac{1}{60}}^{\circ}=\frac{\pi}{180} \times \frac{1}{60} \space rad\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok first do you understand that \[1^{\circ}=\frac{\pi}{180} \space rad\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So now we want to find \[1'={\frac{1}{60}}^{\circ}\] How would you do that?you'd divide by 60 of course! Don't worry, I said that oh dear because you were lagging and I was afraid you may have to leave the question in between

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now read my explanation above of how to convert it into terms of 2pi, i've written it above

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Suppose you have a fraction of the form \[\frac{\pi}{a}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You can multiply it with 1, makes no difference, I'll write that just to create some clarity \[\frac{\pi(1)}{a}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now, we can add and subtract any number, it will make no difference Suppose we have some equation \[x^2+2x+3=9\] If we add and subtract say, root 7, it will make no difference to the equation overall \[x^2+2x+3+\sqrt{7}\sqrt{7}=9\] Similarly we add and subtract an arbitrary constant b \[\frac{\pi(1+bb)}{a}\] We can take b as whatever we want, but there's a particular value of b we desire, I'll show you what value later

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0To further illustrate, I'll distribute the pi and see what we get \[\frac{\pi(1+bb)}{a}=\frac{\pi+b \pib \pi}{a}=\frac{\pi}{a}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it makes no difference

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1Sorry; I'm tired so I take a while to process this stuff haha

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Next we will split our fraction into 2 fractions \[\frac{\pi(b+1b)}{a}=\frac{\pi b+\pi(1b)}{a}=\frac{\pi b}{a}+\frac{\pi(1b)}{a}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Just keep responding if you are following, when you're not, let me know

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1Actually... um, can you just tell me what's wrong with the equation I put in?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now b can take value we want, right? This is because we can add AND subtract any number from an equation or an expression at the same time So if we were to let \[b=2a\] That is completely valid and allowed, like I said b can take any value

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Where's your attempt ??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You want me to check what you've done wrong for question 2, right?so let me see your work

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh I see, so they want you to express \[\frac{7\pi}{4}\] I thought they meant the answer you got from 1st part

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You've expressed it in terms of pi not 2pi

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What number do you think when divided by 4 gives 2?

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1\[\pi=\frac{4\pi}{4}?\rightarrow \pi+\frac{3\pi}{4}=\frac{4\pi}{4}+\frac{3\pi}{4}=\frac{7\pi}{4}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You want to express it in terms of 2pi you are expressing in terms of pi Answer me and you'll solve it, what number when divided by 4 will give u 2?

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1I want to express it in terms of pi?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Nope, check your question

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1So then:\[2\pi\frac{\pi}{4}\]

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1What about part 3?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You didn't post any part 3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so first we have \[r=4000 \space mile\]\[l=1 \space nautical \space mile\]\[\theta=1'=\frac{\pi}{10800} \space rad\] We have the formula dw:1444468327841:dw \[l=r \theta\] Where, theta is in radians, very important! so we get \[1 \space nautical \space mile = 4000 \times \frac{\pi}{10800} \space miles\] We already calculated the value of the angle earlier in radians it was about \[\theta \approx 0.000291\]\[1 \space nautical \space mile = 4000 \times 0.000291 \space miles\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0We are given 1 minute in the question, not 1 degree

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1Okay I got what you said.

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1But I'm not sure where to go from here.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well just calculate the product and you'd get the relation between a nautical mile and miles

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.11.164 is what I got

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1Oh, another question @Nishant_Garg Evaluate the following expression when x is π/6. Use exact values. 4 cos(2x + π/3 ) I put the below link and was told it was incorrect: http://icecream.me/740b0853764307a397859eaad1391961

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1nvm I got it right now

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Extremely sorry I didn't notice, I was studying myself, but I'm glad you got it anyway.

kittiwitti1
 one year ago
Best ResponseYou've already chosen the best response.1S'alright. I think I'm good now, you don't have to stay :]
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