Radians and degrees are two different systems for measuring the size of an angle. In radians, a full circle is 2pi radians. In degrees, a full circle is 360 degrees.
If you want to evaluate an expression in both, then first simplify and evaluate the expression plugging in radian values into your trig functions. The second time, use degree values. On your calculator, you can switch modes between radians and degrees. It should give you the same answer unless you are supposed to leave it written as unevaluated trig functions or something like that.
To convert from radians to degrees...
radians=degrees * (pi/180)
If you are asking for the conversion formulas, then think of the relationship between degress and radians. 360 degress = 2*pi radians, thus to convert every degree to radians, we divide both sides of the equation by 360. 1 degree = 2*pi/360 radians = pi/180 radians. thus to convert degrees into radians, just multiply the number of degrees to pi/180, where pi = 3.141592... by the way, the per sec appended on the unit does not matter in the conversion since both units are in per sec anyway
kind of hard to explain over the internet but I'll try my best. one circle (ie one full clock, one full 60 minutes) is 360 degrees, or 2pi radians, so 42/60 = x/360 or x/2pi if you want it in radians. multiply both sides by 360, or 2pi, again if you want it in radians. the answer is 252 degrees or 1.4pi radians. 42/60 = x/360 (42X360)/60 = x x= 252
To find the angle whose sine is 0.151, you can use the inverse sine function (arcsin). Using a calculator, the angle is approximately 8.68 degrees or 0.151 radians. Keep in mind that sine is positive in both the first and second quadrants, so the angle could also be 171.32 degrees (or 3.00 radians) if considering the range of possible angles.
2.5
You can:* Add the same expression to both sides of an equation * Subtract the same expression from both sides * Multiply the same expression (must not be zero) to both sides * Divide both sides by the same expression (must not be zero)
They are similar in the sense that both are measures of angular displacements. pi radians = 180 degrees so that 1 radian = 57.2958 degrees (approx) or 1 degree = 0.01745 radians
In both radians and degrees cos(0) = 1.
In physics, angular measurements can be expressed in both radians and degrees. Radians are the preferred unit for angular measurements because they directly relate to the arc length of a circle's circumference. One radian is equal to the angle subtended by an arc that is equal in length to the radius of the circle. In contrast, degrees are based on dividing a circle into 360 equal parts. The relationship between radians and degrees is that 1 radian is equal to approximately 57.3 degrees.
If you are asking for the conversion formulas, then think of the relationship between degress and radians. 360 degress = 2*pi radians, thus to convert every degree to radians, we divide both sides of the equation by 360. 1 degree = 2*pi/360 radians = pi/180 radians. thus to convert degrees into radians, just multiply the number of degrees to pi/180, where pi = 3.141592... by the way, the per sec appended on the unit does not matter in the conversion since both units are in per sec anyway
To find the arc length given the radius and angle measure in degrees, you must first convert the angle from degrees to radians, using the formula: Degrees = Radians X (pi/180). Then take the radians and the radius that you are given, and put them into the formula of Q = (a/r) where Q is the angle in radians, a is the arc length, and r is the radius. When you have this, simple multiply both sides by the radius to isolate the a. Once you do this, you have your answer.
They are both units in the measure of an angle. There are 360 degrees in a full turn of a circle. There are 2 pi (radian measure) in a full turn of a circle.
If you don't know what radians are, use degrees. If you don't know what radians OR degrees are, it doesn't matter. If you knew what both of these were, you wouldn't have asked this question. If you feel left out about the secret of radians, don't sweat, you will learn in math class when the time comes. If you just can't wait, there is always Wikipedia...
( are you in radians, or degree mode? will do both) Radians: sin C = 0.3328 arcsin(0.3328) = C =0.3393 radians --------------------- Degrees: sin C = 0.3328 arcsin(0.3328) = 19.44 degrees ------------------------- arcsin is a secondary function on most calculators and you should recognize the algebraic/trig manipulations.
kind of hard to explain over the internet but I'll try my best. one circle (ie one full clock, one full 60 minutes) is 360 degrees, or 2pi radians, so 42/60 = x/360 or x/2pi if you want it in radians. multiply both sides by 360, or 2pi, again if you want it in radians. the answer is 252 degrees or 1.4pi radians. 42/60 = x/360 (42X360)/60 = x x= 252
To find the angle whose sine is 0.151, you can use the inverse sine function (arcsin). Using a calculator, the angle is approximately 8.68 degrees or 0.151 radians. Keep in mind that sine is positive in both the first and second quadrants, so the angle could also be 171.32 degrees (or 3.00 radians) if considering the range of possible angles.
Oh, dude, you're hitting me with some math here! 225 degrees is like... 5/4 in fraction form. So, if you want to impress your friends with your fraction skills, just tell them 225 degrees is 5/4. They'll be like, "Whoa, math genius over here!"
The angles in quadrant one measure between 0 degrees and 90 degrees. In radians, that's between 0 and pi/2. Quadrant one is the quadrant where both X and Y (or cosine theta and sine theta) are positive.