document.write( "Question 1139857: Prove sin^2 x /cos x +sec x =sin x /cot x +1 /cos x is an identity. \n" ); document.write( "

Algebra.Com's Answer #760338 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "manipulate left side\r
\n" ); document.write( "\n" ); document.write( " $\"sin%5E2+%28x%29+%2Fcos%28+x%29+%2Bsec%28+x%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "=>write $\"sin%5E2+%28x%29+%2Fcos%28+x%29+\"$ as $\"sin%28x%29%2Asin+%28x%29%2Fcos%28x%29\"$ which is equal to $\"sin%28x%29tan%28x%29\"$ , and use identities $\"sec%28+x%29+=1%2Fcos%28x%29\"$ and $\"tan%28x%29=1%2Fcot%28x%29\"$ \r
\n" ); document.write( "\n" ); document.write( "= $\"sin+%28x%29++%2Fcot+%28x%29+%2B1%2Fcos%28x%29\"$ ->proven \n" ); document.write( "

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