When does your calculator have to be in radian mode and when does it have to be in degree mode?

Question

i have to take the math sat subject test tomorrow and i don't know what problems to do in radian mode or which to do in degree mode. help!

Answer 1

Radian and Degree are two different units of measuring angles.



Degree notation is usually a small o above the angle value

Radian notation is sometimes written with a small c above the angle value



Sometimes unit is written in plain English as 'degrees' or 'radians'. Also in short 'rad' or 'deg'.



The conversion formula for radian and degree is

180 degrees = pi radians

where pi = 22/7



thus N radians = (180 * N) / pi degrees

N degrees = (n * pi) / 180 radians



some usual angles are:

90 deg = pi / 2 rad

180 deg = pi rad

270 deg = 3 pi / 2 rad

360 deg = 2 pi rad



Sometimes when angle value is written in terms of pi, no unit notation is given.



You should see the problems and note what units the angles are given in and change the mode of the calculator accordingly.



If in a problem, the some angles are given in radian and some in degree, you should change all angles to either radian or degree as per required.



Since most of the problems are in degree mode, you should keep your calculator in degree mode initially.

Answer 2

Radian To Degree Calculator

Answer 3

Degree To Radian Calculator

Answer 4

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Any problem can be done in radian or degree mode. The text book will make the call as to which mode they are looking for. There are some books that use different variables which represent different modes for example x = radians and theta = degrees. Usually the directions will give you a range or window for the answers. If the window has a pi in it, you are in radians. If it has a degree symbol then obviously degrees.

Answer 5

The rule is: when no units are given, it's radians. ALWAYS. Seriously, it's a rule. Unless the problem specifically says "degrees" or uses the degree symbol, you should assume it's radians.



Also, remember that a circle only has 2π radians in it– a little over 6. So angle measurements that are very small numbers are probably in radians.



......

If you saw something like "sin90" somewhere, yeah, they probably meant degrees. But I wouldn't expect the SAT to be so sloppy with notation. If it's really unclear, ask the proctor to clarify. That certainly wouldn't be cheating. I'm sure they'd tell you.



(At any rate, the SAT is a multiple-choice test. So if you use the wrong mode, the answer you get won't be there for you to choose! Just go back and do it again in the other mode.)

Answer 6

This depends on the units of the angle, if I said I wanted sin(pi radians) I need to be in RADIAN mode. If I want sin(30 degrees) I need to be in DEGREE mode. There are 2*pi radians in 180 degrees.

Answer 7

Radian mode is used when their is a value of Pi or a small C on the top or when they state to use the radian or rad.

eg: "sin(2pi / 4)" or "sin(2.4with with a small C on the top)". or "sin(2.4radian) or sin(2.4rad)."

Degree mode is used when their are any values given with a degree sign on the top or if they state to use the degree or deg.

eg: "sin(130 degree or deg)" or "sin(130 with a degree sign or small circle on the top)."

Answer 8

Sound arguments.

Answer 9

Sure thing

Answer 10

The problems that involve tangent, sine and cosine need your calculator to be in degrees.