Degrees, Minutes

[DarKiLluSioN]

I was wondering if there is a way to change a a number that is less then one to degrees and minutes without using the chart? If so can you show. I'm barely beginning trig and I got chapter test cause of summer school.

Edit: In case if you were wondering im talking about changing like sines and cosines and all the other ones.

 

[Gene]

I'm not sure what you are changing from. If it is radians you multiply it by 180/pi. You write down the integer part as degrees then multiply the decimal part by 60. Write down the integer part as minutes then multiply the decimal part by 60. That gives seconds. Like this:
.1 radians * 180/3.14159265 = 5.7295795
Write 5° (degrees)
.7295795 * 60 = 43.774677
Write 43' (minutes)
.774677 60 = 46.48" (seconds) so

.1 radians = 5° 43' 46.48"

If your TI-89 works like my TI-83 you have a MODE buttom. When you push that the menu gives a choice of radians or degrees. Pick degrees.
Enter .1
Push 2nd ANGLE
Choose r
Push 2nd ANGLE
Choose DMS

 

[DarKiLluSioN]

Oh alright thanks, but what if the question was like sin(thata)= .8534. I managed to use sin^-1(.8534), but it seems that whenever the nswer comes out to be greater then 45 I gotta round it to the next whole number. But not when the answer is less then 45. Am I right?

 

[Guest]

it seems that whenever the nswer comes out to be greater then 45 I gotta round it to the next whole number. But not when the answer is less then 45. Am I right?

Not in general, but that might just be a weird convention that your book uses. Can you give a examples of when you have to round and when you don't?

 

[DarKiLluSioN]

Ok the question is sin(thata)=.8534. Then I use sin^-1(.8534)=58.58. But the degrees in the book is 59 degrees. Then I times .58 bu 60 and get 35 minutes. 59 degrees 35'. Then when I do sin(thata)=.2534. The answer is 14.67, but I dont have to round to 15 degrees. So the answer is 14 degrees 40'.

 

[Guest]

Then I use sin^-1(.8534)=58.58. But the degrees in the book is 59 degrees. Then I times .58 bu 60 and get 35 minutes. 59 degrees 35'.

The book says 59^o 35' ? If it just says 59^o, then I guess it's just rounding sometimes, and you probably don't have to worry about rounding the same way it does unless it says to do in the instructions. If it says 59^o 35', then it's crazy. That's like rounding 58.58 to 59.58 .

 

[DarKiLluSioN]

You are right the first time I looked at it I thought it was crazy, but now i finally get how to look at it. It's backwards and now I finally see it. Sorry to of confused you.