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? • (43 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) (90 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! (75 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 (25 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! (19 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? (18 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. (9 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) Anna Lesley 5 years agoPosted 5 years ago. Direct link to Anna Lesley's post “When I have 5pi/9 and I a...” When I have 5pi/9 and I am converting it to degrees do I set them up in the proportion just as in the video? And just like the example with -pi/2 do I multiply the 5 by 180? My answer was 100 degrees. Would like to know if I did it right. thx!! • (5 votes) David Severin 5 years agoPosted 5 years ago. Direct link to David Severin's post “You are correct, 5π/9 * 1...” You are correct, 5π/9 * 180/π = 100. Notice you could multiply 5 * 180 and divide by 9 or you could divide 180/9 to get 20 and then multiply by 5 to get 100. (7 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 to convert radians to degrees? ›
To change from radians to degrees, you need to multiply the number of radians by 180/π. This number will help you switch between the two units. For example, if you multiply π/2 radians by 180/π, you will get 90 degrees.
What is a radian for dummies? ›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. So a radian is about 360 /(2 * pi) or 57.3 degrees.
Why do we use radians instead of degrees? ›Radians have the following benefits: They are dimensionless, which means that they can be treated just as numbers (although you still do not want to confuse Hertz with radians per second). Radians give a very natural description of an angle (whereas the idea of 360 degrees making a full rotation is very arbitrary).
What is the algorithm to convert radians to degrees? ›Therefore, to convert radians to degrees, use this formula = Radian measure × (180°/π). The final unit of measure will be (°). 1 rad equals 57.296°.
What is 36 converted to radians? ›Hence, 36 degrees is equal to 0.628 radians.
What is the equation for converting degrees to radians? ›To convert from degrees to radians, multiply the number of degrees by π/180. This will give you the measurement in radians. If you have an angle that's 90 degrees, and you want to know what it is in radians, you multiply 90 by π/180. This gives you π/2.
How do you convert 10 degree 30 to radians? ›Answer: To convert 10°30' into radians, we need to use the conversion factor that 1 degree is equal to π/180 radians and 1 minute (') is equal to π/180 * 1/60 radians. Therefore, the value of 10°30' in radians is 51π / 900.
What radian measure is equivalent to 240 degrees? ›Getting4π/3Detailed Answer :240=240x π/180=24 π/18=4π/3.
Why do mathematicians prefer radians to degrees? ›One of the biggest advantages of radians is their simplicity of use in calculus for trigonometric functions. Many trigonometric identities and formulas are simpler when angles are in radians. The sin(x) is cos(x) in radians, but in degrees, things get more complicated.
What are radians used for in real life? ›The radian is widely used in physics when angular measurements are required. For example, angular velocity is typically expressed in the unit radian per second (rad/s). One revolution per second corresponds to 2π radians per second.
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 formula for 1 radian to degrees? ›The conversion of radians to degrees can be done using the formula 'Angle in Radians × 180°/π = Angle in Degrees'. ⇒ 1 radian × 180°/π = Angle in Degrees ⇒ Angle in Degrees = 57.296°. Therefore, the measure of 1 radian in degrees is equal to 57.296°.
Is 180 degrees equal to 1 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.
How do you convert pi 9 radians to degrees? ›Convert π9 radians to degrees. π9 rad = 180π⋅π9 = 20∘ .
What is the radian formula? ›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).