# Degree Or Radian Mode For Trig

**22 550 divided by 360 is 62 with a remainder of 230 which is the number of degrees.**

**Degree or radian mode for trig**.
One way to think about it is think about the pi and the 180 for every 180 degrees you have pi radians.
If the information is in degrees then it makes sense to use the deg mode.
It is important to have the calculator in the right mode since that mode setting tells the calculator which units to assume for angles when evaluating any of the trigonometric functions.

180 degrees pi radians these are essentially the equivalent thing essentially you re just multiplying this quantity by 1 but you re changing the units the radians cancel out and then the pi s cancel out and you re left with 180 3 degrees 180 3. A radian is 1 2πr of the circumference of a circle. This is because the computations are done in radians and are using a rounded value of pi.

1 degree we can divide both sides by 180. Sin90 cos 0 1 radian. So pi 180 radians is equal to 1 degree.

If you prefer to treat multiple full circles as in this case as less than a full circle first divide the total degrees by 360 the number of degrees in a full circle. Many calculators have degree radian and grad modes 360 2 p rad 400 grad. So now we want to think about 1 degree.

Well let s start off with let me rewrite this thing over here. It is important that if you are using your calculator to estimate a trig function that you know which mode you. If r or rad is on the display it means that the current angle mode is radian.

For example cos 90deg amy return 6 123031769111886e 17 instead of zero. For a reference a full circle is 360 degrees or 2 π radian or 400 gradians. In general multiply degrees by 0 0175 to get radians 1 691 25 radians in this case.