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Degrees, Radians, and Trig Angle Entries

Remember: The calculator defaults to Radian measure.
 

Working with Degrees:

There are two ways to engage "Degrees" when working with the calculator:
             1.  Set the MODE to Degree and all further calculations will be in degrees.
          2.  If in Radian MODE, use the Degree Symbol (2nd APPS (Angle) and select #1 ° ).
               The degree status will be applied to that one calculation only.  All other calculations
                will return to radian mode.

 

Converting Degrees to Radians:

Find the radian measure of an angle whose measure is 500°.          

Method 1: (in Radian or Degree mode)
 Convert by multiplying by  .

Mode set to Radian

Method 2:  (in Radian mode)

With the mode set to Radian, type 500°.  Notice the degree symbol. 
Hit Enter.

NOTE:  If in Degree mode, you can force an answer to radians by using
                    2nd APPS(Angle) #3 r.  
        

In Degree mode,     but ......


gives the answer 0.0548036651
(WRONG!!!)


 gives the correct answer of 0.
 

 

Converting Radians to Degrees:

Find the degree measure of an angle whose measure is

Method 1: (in Radian or Degree  mode)
 Convert by multiplying by  .

Mode set to Degree

Method 2:  (in Degree mode)
In Degree mode, the r symbol can be used to convert radians to degrees.  The r is found 2nd APPS(Angle) #3 r.  

With the mode set to Degree, type

 

Convert 57° 45' 17'' to decimal degrees:

In either Radian or Degree Mode:    Type 57° 45' 17'' and hit Enter.
        ° is under Angle (above APPS) #1
        '  is under Angle (above APPS) #2
        ''  use ALPHA (green) key with the quote symbol above the + sign.   
                                                                                                     Answer:  57.75472222
 

Convert 57° 45' 17'' to radians:

With the mode set to Radian  Type 57° 45' 17'' °  and hit Enter.
        ** Note the use of the additional degree symbol at the end.  Without it, conversion would be to decimal degrees, even though the mode is set to radians.

 

Convert 48.555° to degrees, minutes, seconds:

Type 48.555 ►DMS                          Answer:  48° 33' 18''
        The ►DMS is #4 on the Angle menu (2nd APPS).  This function works even if Mode is set to Radian.
 

Given cos A = .0258.  Find <A expressed in degree, minutes, seconds.

With the mode set to Degree:  Type cos-1(.0258).  Hit Enter.
Engage ►DMS     
Answer:  88° 31' 17.777''  
                                 (Be careful here to be in the correct mode!!)

 

Find sin 57° 45' 17'':

Enter sin(57° 45' 17'' °).   This problem is clearly dealing with degrees.  The entry shown here works even if MODE is set to Radian.   Answer:  .8457717984
                  If MODE is set to Degree, the degree symbol at the end is not needed.

 

Find cos(-250° 21'):

Enter cos (-250° 21' °) when in Radian mode.  Answer:  -.3362735421
           If MODE is set to Degree, the degree symbol at the end is not needed.

 

Find sec(25° 40'):

There is no key for secant.  But, since  , enter:  1/cos(25° 40' °) when in Radian mode.   If MODE is set to Degree, the degree symbol at the end is not needed.
Answer:  1.109472591

 

Find  :

Enter directly:    when in Radian mode.    Answer:  -.7660444431
If in Degree mode,
enter .

 

Find  :

There is no key for cosecant.  But, since  , enter:  when in Radian mode.   Answer:  1.015426612

In Degree mode, enter   .
 

 



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