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What does evaluate the expression in both radians and degrees mean?
Wiki User
∙ 12y ago
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)
Wiki User
∙ 12y ago
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Deg per sec to rad per sec?
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
What is the angle measurement when the time is 5 42?
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
What is x if the sin of x equals square root of 5 divided by 2?
2.5
How can you create an equivalent by using the Properties of Equality?
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)
Why radian has no dimension?
The simplest explanation is that a radian is defined as the distance an angle would subtend along the circumference of a circle of radius "r" divided by the radius "r." If we call the subtended arc "a," then both "r" and "a" are measured in length units, which of course cancel out when the ratio "a" over "r" is taken.The easiest way to understand this is probably through an example. Take an angle of 30 degrees. If we construct a unit circle (radius = 1 unit) centered at the vertex of the angle, then we know the circumference of the circle is 2(pi)r = 6.283 units. We also know that the circumference of the circle is 360 degrees by definition, so a 30 degree angle subtends 30/360, or 8.3 percent of the circumference of 6.283 units, or 0.524 units. Thus, the angle in radians is the length of the subtended arc, 0.524 units, over the length of the radius, 1 unit, or 0.524 units/1 unit = 0.524 (with the units dimension canceling out).Since by definition, circumference = 2(pi)(r) = 360 degrees, it is easy to see that an arc of "r" units (that is one radian) = 360/(2(pi)) = 57.3 degrees and that there are 2(pi), or 6.28 radians in 360 degrees. If one radian = 57.3 degrees, then the 30 degree example above should equate to 30/57.3 = 0.524 radians, just as was shown.Bottom line is that an angle in radians defines a given subtended arc distance for a circle of any radius measured in any units, as long as it is centered at the vertex of the angle. If a circle of radius 57 hoozits is centered at the vertex, then an arc of length "57 times the angle in radians" hoozits is subtended. Similarly, if a circle of radius 23 cm is centered at the vertex, then an arc of length "23 times the angle in radians" cm subtended. In either case, the subtended angle in degrees is the angle in radians times 360/((2)(pi)).
How are radians similar to degrees in shapes?
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
What is cosine of 0?
In both radians and degrees cos(0) = 1.
Deg per sec to rad per sec?
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
How does one calculate arc length when given the radius and angle measure in degrees?
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.
What do radians and degrees have in common?
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.
How do I know when to use radian mode or degree mode for TI?
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...
How do you find C from sin C equals 0.3328 using a calculator?
( 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.
What is the angle measurement when the time is 5 42?
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
What are the measure of the angles in quadrant 1?
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.
What unit of measure does longitude use?
Latitude and longitude are angles, and are best expressed in units of angle measurement. Radians and grads would work, but the most commonly used units are degrees, minutes, seconds, and fractions of seconds.
Why are committees used by both houses to evaluate proposed legislation?
why are commities used by both houses to evaluate proposed legislation
What is x if the sin of x equals square root of 5 divided by 2?
2.5
