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?

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.

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