How do I convert a tan value into degrees?
How is tan theta = 4, in degrees 78 degree 54 minutes? Can anyone explain me how to take out the value of theta here, whithout a calculator? How to take out the degree value of any tan value?
How is tan theta = 4, in degrees 78 degree 54 minutes? Can anyone explain me how to take out the value of theta here, whithout a calculator? How to take out the degree value of any tan value?
Comments
Except for specific values (e.g.tanθ = I) it is incredibly time-consuming to do without a calculator or computer or tables.
There are various methods which give the value in radians. Then you would convert radians to degrees and minutes. One method is a power series expnsion - read throught the link.
There are a range of other algorithms but they are all pretty difficult technically. If you do a search on "algorithms for inverse tangent" you will find more information.
The way to do this it to use the "inverse tan" function. You can find out about it here:
http://mathworld.wolfram.com/InverseTangent.html
Unfortunately, this function is extremely complicated and very difficult to calculate by hand (there are numerical approximations to it but they are also very hard). Except for a few special cases where you can memorise the answer, the only practical way to do it is with a computer or calculator.
One has to use a table or calculator to find the angles .
But you can memorize certain trigonometric values of certain familiar angles like 30 ,45 60 and 90.
which will be of much use full .
if i'm not wrong, tan = adjoining / opposite. if I even have hypoteneuse and opposite, i might use cosine. yet to transform from decimal to degree, you will might desire to apply the inverse tan = tan^-a million. once you're utilising a image calculator, make advantageous your calculator is in degree mode rather of radian.
Use tan inverse functions.
It is very compicated to be done by hand but standard tables are available for it.
theta is an algebraic representation of degrees.
the inverse of the function is:
theta = arctan 4
= 75.96 degrees.