arctan(1/12)= 4.763 rounded to the nearest tenth degree, which is 4.8? because arctan=inv tan
right. 4.8 degrees.
Yes, you are correct. The value of arctan(1/12) rounded to the nearest tenth degree is 4.8.
To find the arctan value, you can use the inverse tangent function (sometimes denoted as "tan^(-1)"). In this case, if you input 1/12 into the arctan function:
arctan(1/12) = tan^(-1)(1/12)
You can use a scientific calculator or a mathematical software program to evaluate this expression. By doing so, you will find that arctan(1/12) is approximately 0.08333333333333333 radians.
Now, to convert this value to degrees, you can use the conversion factor that there are 180 degrees in π radians:
0.08333333333333333 radians * (180 degrees / π radians) ≈ 4.763 degrees
Then, when rounding to the nearest tenth, you get:
4.763 ≈ 4.8 degrees
So, you are correct that arctan(1/12) is approximately equal to 4.8 degrees.