SOLUTION: If sin A = sqrt 3/2, how do I measure angle A in radians? Thank you.

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Question 414405: If sin A = sqrt 3/2, how do I measure angle A in radians?
Thank you.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
If sin A = sqrt 3/2, how do I measure angle A in radians?
.
There are many ways to do this. I will show you how I do it.
First, The angle whose sin=sqrt(3/2)=60 deg
Second, I remember that pi radians=180 deg.
Then I take 60/180 as a fraction of pi radian.
60/180*pi radians=(1/3)pi radians=pi/3 radians.
so, 60 deg = pi/3 radians.
..
You can also use dimensional analysis.
Just multiply pi radians/180 deg. by 60 deg. Degrees cancel and you end up with radians.If you were converting to degrees from radians,change the fraction to 180 deg/radians and multiply by radians to end up with degrees. Note that since 180 deg and pi radians are equal to each other, the fraction is equal to 1.
Hope this helps.