document.write( "Question 1100593: Given TAN (x) =1.1273 determine COS(x) to four decimal places \n" ); document.write( "

Algebra.Com's Answer #715112 by greenestamps(13203) $\"\"$ $\"About$

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You can't perform this kind of calculation with pencil and paper; you need a calculator or some other mathematical tool.

\n" ); document.write( "If you have a good graphing calculator (which you should have, if you are studying trigonometry), then you can find the value directly. With my TI83 calculator, I get the answer by entering \"cos(tan^-1(1.1273))\" (\"cosine of inverse tangent of 1.1273\").

\n" ); document.write( "If you don't have a calculator that will do that kind of calculation, or if you want to practice other trig skills, you can do this:

\n" ); document.write( " $\"sinx%2Fcosx+=+1.1273\"$
\n" ); document.write( " $\"sinx+=+1.1273%2Acosx\"$
\n" ); document.write( " $\"sqrt%281-%28cosx%29%5E2%29+=+1.1273%2Acosx\"$
\n" ); document.write( " $\"1-%28cosx%29%5E2+=+1.27080529%2A%28cosx%29%5E2\"$
\n" ); document.write( " $\"1+=+2.27080529%2A%28cosx%29%5E2\"$
\n" ); document.write( " $\"%28cosx%29%5E2+=+1%2F2.27080529\"$
\n" ); document.write( " $\"cosx+=+sqrt%281%2F2.27080529%29\"$ \n" ); document.write( "

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