Log in Rishub Podar 10 years agoPosted 10 years ago. Direct link to Rishub Podar's post “Can you possibly have neg...” Can you possibly have negative angles? • (44 votes) Stanley 10 years agoPosted 10 years ago. Direct link to Stanley's post “Negative angles are clock...” Negative angles are clockwise angles. (Counterclockwise is positive) (91 votes) G junior 8 years agoPosted 8 years ago. Direct link to G junior's post “If pi continues forever, ...” If pi continues forever, how can we use it to define answers? That would mean every answer we get would continue on forever, but we shorten pi and thus makes none of the math we do with pi actually 100% true but rather an estimated amount. I don't even understand the concept of pi honestly. Can someone explain to me? • (32 votes) Super7SonicX 7 years agoPosted 7 years ago. Direct link to Super7SonicX's post “Take a measurement of a l...” Take a measurement of a length of anything, we won't get an exact whole number. A pencil said to be 8 cm long may be 8.000034 cm for example. We are always estimating because the exact amount is almost never needed, and we take as accurate a measurement as required. So, every answer may continue on forever, but what we estimate, is what we need practically. Theoretically in math, since we always use rational numbers most of the time, an irrational number like pi is often confusing as it does not provide a definite rational answer. Instead we have to estimate to the accuracy required for the situation. If you want to find the circumference of a random cart wheel, you dont need accuracy. When you find the circumference of a rocket, you may need more accuracy. But of course, theoretically we can still get a definite answer if we just dont expand π and leave it as π. Circumference of a circle of diameter 3 is 3π. This gives you a perfect theortical answer. Otherwise it would be 3*3.14..... and as you said, it is not a perfect defined answer and is not theoretically accurate. Hope this helps! (73 votes) kaidragonore210 a year agoPosted a year ago. Direct link to kaidragonore210's post “I like how he said _radia...” I like how he said radiaseseseseseseses. • (39 votes) 1140858 a year agoPosted a year ago. Direct link to 1140858's post “True” True (6 votes) migalhas1998 12 years agoPosted 12 years ago. Direct link to migalhas1998's post “Is there any kind of nota...” Is there any kind of notation for radians? • (24 votes) Parth Sastry 11 years agoPosted 11 years ago. Direct link to Parth Sastry's post “Yes, there is, though it ...” Yes, there is, though it is rarely used. See- (32 votes) abean077 12 years agoPosted 12 years ago. Direct link to abean077's post “Are negative degrees actu...” Are negative degrees actual things, or are they hypothetical like negative numbers? • (14 votes) ym0671 11 years agoPosted 11 years ago. Direct link to ym0671's post “they are actual things. F...” they are actual things. For example, if you rotate an object 90 degrees clockwise, it would be -90 degrees. Like the number line, negative and positive only show direction (24 votes) marla_chaos 3 years agoPosted 3 years ago. Direct link to marla_chaos's post “Is 1.5 pi the same as 270...” Is 1.5 pi the same as 270? • (9 votes) Andrzej Olsen 3 years agoPosted 3 years ago. Direct link to Andrzej Olsen's post “Yep, 1.5π radians is exac...” Yep, 1.5π radians is exactly 270°. We usually use fractions for radians, so that would be 3π/2. What you said is completely correct, though! (18 votes) J.A.R.V.I.S. 6 years agoPosted 6 years ago. Direct link to J.A.R.V.I.S.'s post “Is there any other way to...” Is there any other way to measure the angle just like degrees, radians....? • (8 votes) Howard Bradley 6 years agoPosted 6 years ago. Direct link to Howard Bradley's post “There was an attempt at a...” There was an attempt at a metric measure of angle where the right angle was divided into 100 parts (as opposed to the usual 90 degrees). The measure was called the gradian. There were 400 gradians in a complete revolution, and 1 gradian = 0.9 degrees. It hasn't really caught on, and the only place I've seen it is on calculators. Is that what you had in mind? (17 votes) sjosada a year agoPosted a year ago. Direct link to sjosada's post “isn't -90 degrees 270 deg...” isn't -90 degrees 270 degrees? • (12 votes) Venkata a year agoPosted a year ago. Direct link to Venkata's post “If the reference point is...” If the reference point is the positive x axis then yes, -90 degrees is 270 degrees. (8 votes) Lilly Brown 6 years agoPosted 6 years ago. Direct link to Lilly Brown's post “Why did humans invent rad...” Why did humans invent radians and degrees? Isn't one enough? • (6 votes) cossine 6 years agoPosted 6 years ago. Direct link to cossine's post “Radians make calculation ...” Radians make calculation easier in dealimg with derivatives. For example, if you take the derivative of sin x that will be lim_x->0 sin x/x doesn`t equal 1 but pi/180 from using degrees by following the steps he carries out. To understand the proof you should, however, have an understanding of limits/differentiation and circular geometry has in finding arc length and the area of a sector which you can learn about in some of Sal videos. (6 votes) N8te.R.C 8 years agoPosted 8 years ago. Direct link to N8te.R.C's post “why does Sal say, "radius...” why does Sal say, "radiussess"? • (6 votes) Matthew Daly 8 years agoPosted 8 years ago. Direct link to Matthew Daly's post “There is a debate in math...” There is a debate in math education that nobody needs to be told that "radiuses" is the plural of "radius", but "radii" has to be a vocabulary word. Since both words are acceptable plurals for "radius" in English, it would be clearer to teach with "radiuses", especially to students who don't speak English as their first language. I get the feeling in this video that Sal is new to this debate and is being a little silly about it. ^_^ (5 votes)Want to join the conversation?
- Super7SonicX
Usually, the no. of radians is written like 2rad
You write degrees with a little circle at the top 1.2°
Same way, an angle of 1.2 radians would be written either as "1.2 rad" or "1.2 with a "c" at the top.(I can't seem to get the 'c' using formatting here.)
http://en.wikipedia.org/wiki/Radian
, second paragraph last line for the answer to your question.
https://en.wikipedia.org/wiki/Gradian
pi/180 cos x using degrees however by defining pi=180 the derivative will just be cos x which is simpler. You can get the result from the proof theorem on the derivative of sin x being cos x except instead of using radians as Sal does in his calculations use degrees. You will also notice that:
FAQs
How do you get answers in radian? ›
How to Convert Degrees to Radians? The value of 180° is equal to π radians. To convert any given angle from the measure of degrees to radians, the value has to be multiplied by π/180.
Are radians easier than degrees? ›So what is the benefit of using degrees or radians? For most practical applications outside mathematics (e.g. architecture and geography), degrees are much easier to comprehend and use, since degrees are what everybody is accustomed to. On the other hand, radians reign supreme in pure mathematics and physics.
How do you convert between radians and degrees? ›How To Convert Radians to Degrees? The conversion of measure of an angle from radians to degrees can be done using the following formula: Angle in Radians × 180°/π = Angle in Degrees. For example, consider an angle π/9 rad. Now, using the radians to degrees formula, we have π/9 rad × 180°/π = (Angle in Degrees).
How do you understand radians and degrees? ›Degrees measure angles by how far we tilted our heads. Radians measure angles by distance traveled. or angle in radians (theta) is arc length (s) divided by radius (r). A circle has 360 degrees or 2pi radians — going all the way around is 2 * pi * r / r.
How many radians is 315? ›ar=αd⋅π180° . In our case: ar=315°⋅π180°=74π .
Why do mathematicians prefer radians? ›Mathematicians and scientists will in general prefer radians, while non-math oriented people will prefer degrees. Radians make many formulas in math much simpler (for example the derivative of sin x being cos x is only true in radians), which is why mathematicians prefer them.
Is calculus radians or degrees? ›Radians are preferred because of their beauty and consistency with mathematical conventions in advanced mathematics, calculus, physics, and engineering. On the other hand, degrees are easier to obtain for practical trades, geographic and navigational applications, and ordinary communication.
Is math in degrees or radians? ›In calculus and most other branches of mathematics beyond practical geometry, angles are measured in radians. This is because radians have a mathematical naturalness that leads to a more elegant formulation of some important results.
What is the formula for radians? ›Formula of Radian
Firstly, One radian = 180/PI degrees and one degree = PI/180 radians. Therefore, for converting a specific number of degrees in radians, multiply the number of degrees by PI/180 (for example, 90 degrees = 90 x PI/180 radians = PI/2).
There are 2π radians in a full circle. (So 2π radians should equal 360°. Check it out by multiplying 57.30° by 2π = 6.283. You should get 360° to four significant figures.)
What is the symbol for radian? ›
The symbol used to denote the radian measure is “rad” or “c”.
How do you know if I should be in degrees or radians? ›You should use radians when you are looking at objects moving in circular paths or parts of circular path. In particular, rotational motion equations are almost always expressed using radians. The initial parameters of a problem might be in degrees, but you should convert these angles to radians before using them.
What is the difference between degrees and radians for dummies? ›A radian is much bigger than a degree. A circle has 2π radians (a little more than six radians). A radian is almost 1/6 of a circle — it's a little more than 57 degrees.
Why are 360 degrees in a circle? ›It was during the reign of Nebuchadnezzar (605-562 BC) in the Chaldean dynasty in Babylon that the circle was divided into 360 degrees. This was because the Chaldeans had calculated by observation and inference that a complete year consists 360 days.
What is the formula for radian? ›Firstly, One radian = 180/PI degrees and one degree = PI/180 radians.