Radians Definition and 110 Threads

The radian, denoted by the symbol




rad



{\displaystyle {\text{rad}}}
, is the SI unit for measuring angles, and is the standard unit of angular measure used in many areas of mathematics. The unit was formerly an SI supplementary unit (before that category was abolished in 1995) and the radian is now an SI derived unit. The radian is defined in the SI as being a dimensionless value, and its symbol is accordingly often omitted, especially in mathematical writing.

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  1. M

    Converting Degrees to Radians on a TI-83+

    Hi guys, ok 120 degrees / 180 degrees x Pie radians = 2.09 Radians Thats the problem, and the answer Question is how do get that answer on My TI-83+
  2. S

    Integration, complex roots and radians

    The first one, integration, I just want to check my answer. \int \frac{1}{64} (\cos6\theta + 6\cos4\theta + 15\cos2\theta + 20) = \frac{1}{64} (\frac{\sin6\theta}{6} + \frac{6\sin4\theta}{4} + \frac{15\sin2\theta}{2} + 20\theta + c I just wasn't sure if the integral of a constant wrt theta...
  3. T

    Help with Radians: Find Angles in Radians

    I need help with radians.. One of my questions is: An angle of 0 (with line through it) =249 degrees is equivalent to how many radians? Answer in units of rad. Thanks!
  4. C

    Radians vs Degrees: Why Calculus Uses Radians

    why radians are used in calculus instead of degrees?
  5. A

    TI-83 Troubleshooting: Graphing Polar Equations in Degrees & Radians

    Anyone know enough about TI-83s to help me out? For some reason whenever I try to graph a polar equation on mine it gives me what the graph should look like for radians when degrees is the mode of choice and vice versa. For example, if I were to graph sin(theta) I get a nice pretty circle when...
  6. E

    Plotting Root Mean Square Calculations with Radians

    I tried some formulas on my graph calculator after reading about root mean square calculations of power and physics. Plot these using radians: Y1 = (sin(X)^2)^(1/2) Y2 = (tan(X)^2)^(1/2) Y3 = (tan(X)^3)^(1/3) Axis: 0<x<2(pi) 0<y<2(pi) or zoom to fit! kinda cool huh! Has anyone...
  7. G

    Circular Racetrack Problems Involving Radians

    I'm being newly introduced to Radians. We touched on it last year in Math, but not long enough for me to soak any of it. I can't even begin to answer half of the problems in my textbook because I don't know how to get the radian measurement, or how to get the angular measurement when I need it...
  8. U

    How to solve this trig equation in radians 2sin^2(x) + sin(x) - 1=0

    I just got a review sheet in math that contain questions that I don't know how to do from last year. ONe asks to solve for all values of theta of [0,2pi] in radians: 2sin^2(theta)+sin(theta)-1=0 any ideas?
  9. Z

    Converting 25 Degrees to Radians: A Puzzling Question

    this should be a simple question, but I am just not getting the right answer. I need to change 25 degrees to radians. I know, that 360 degrees = 2pi radians, but I am not getting the right answer. thanks for the help
  10. S

    Converting radians to degrees, help

    I know this is an easy problem, but I need to know 3 sets of polar coordinates for the Cartesian coordinates (-4,4\sqrt{3}}) So I graphed the points and got the hypotenuse, r = 8. How do I convert 4\sqrt{3}}) to degrees? (4\sqrt{3}}) = 6.92820 Is this in radians...
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