document.write( "Question 975581: Write each function value as a non-trigonometric expression in x:\r
\n" ); document.write( "\n" ); document.write( "cos(2arcsinx) \n" ); document.write( "

Algebra.Com's Answer #599159 by Fombitz(32388) $\"\"$ $\"About$

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$\"cos%282Z%29=cos%5E2%28Z%29-sin%5E2%28Z%29\"$
\n" ); document.write( " $\"Z=sin%5E%28-1%29%28x%29\"$
\n" ); document.write( "In other words,
\n" ); document.write( " $\"sin%28Z%29=x\"$
\n" ); document.write( "By relation,
\n" ); document.write( " $\"cos%5E2%28Z%29%2Bx%5E2=1\"$
\n" ); document.write( " $\"cos%5E2%28Z%29=1-x%5E2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"sin%5E2%28Z%29=x%5E2\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"cos%282Z%29=%281-x%5E2%29-x%5E2\"$
\n" ); document.write( " $\"cos%282%2Asin%5E%28-1%29%28x%29%29=highlight%281-2x%5E2%29\"$ \r
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