document.write( "Question 1009287: cos(sin^−1(x) − tan^−1(y)) \n" ); document.write( "

Algebra.Com's Answer #626864 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
cos(sin^−1(x) − tan^−1(y))
\n" ); document.write( "-----
\n" ); document.write( "cos(sin^-1(x))
\n" ); document.write( "Let sin(t) = x
\n" ); document.write( "Then : cos(t) = sqrt(1-sin^2(t)) = sqrt(1-x^2)
\n" ); document.write( "----------
\n" ); document.write( "cos(tan^-1(y))
\n" ); document.write( "Let tan(t) = y/1
\n" ); document.write( "Then : cos(t) = 1/sqrt(y^2+1)
\n" ); document.write( "==========
\n" ); document.write( "Ans cos(sin^−1(x) − tan^−1(y)) = [sqrt(1-x^2)-[1/sqrt(y^2+1)]]
\n" ); document.write( "-----------\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "-----------
\n" ); document.write( " \n" ); document.write( "

\n" );