document.write( "Question 1201668: Show the process of simplifying 1/cos^2x + 1/sin^2x into 1/cos^2 * sin^2x \n" ); document.write( "

Algebra.Com's Answer #836145 by Theo(13342) $\"\"$ $\"About$

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1/cos^2(x) + 1/sin^2(x) is the original expression.
\n" ); document.write( "multiply 1/cos^2(x) by sin^2(x)/sin^2(x) and multiply 1/sin^2(x) by cos^2(x)/cos^2(x).
\n" ); document.write( "you will get:
\n" ); document.write( "sin^2(x)/(sin^2(x)cos^2(x)) + cos^2(x)/(sin^2(x)cos^2(x))
\n" ); document.write( "that becomes (sin^2(x) + cos^2(x))/(sin^2(x)cos^2(x))
\n" ); document.write( "which becomes 1/(sin^2(x)cos^2(x)) because sin^2(x) + cos^2(x) = 1. \n" ); document.write( "

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