document.write( "Question 946977: tan^2x+6=sec^2x+5 \n" ); document.write( "

Algebra.Com's Answer #577724 by MathLover1(20850) $\"\"$ $\"About$

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$\"tan%5E2%28x%29%2B6=sec%5E2%28x%29%2B5\"$ .........since $\"tan%5E2%28x%29=sin%5E2%28x%29%2Fcos%5E2%28x%29\"$ , we have\r
\n" ); document.write( "\n" ); document.write( " $\"sin%5E2%28x%29%2Fcos%5E2%28x%29%2B6=sec%5E2%28x%29%2B5\"$ ...........since $\"sec%5E2%28x%29=1%2Fcos%5E2%28x%29\"$ , we have\r
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\n" ); document.write( "\n" ); document.write( " $\"sin%5E2%28x%29%2Fcos%5E2%28x%29%2B6=1%2Fcos%5E2%28x%29%2B5\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"sin%5E2%28x%29%2Fcos%5E2%28x%29-1%2Fcos%5E2%28x%29=5-6\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%28sin%5E2%28x%29-1%29%2Fcos%5E2%28x%29=-1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"sin%5E2%28x%29-1=-1%2Acos%5E2%28x%29\"$ ..........since $\"sin%5E2%28x%29=1-cos%5E2%28x%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"1-cos%5E2%28x%29-+1=-cos%5E2%28x%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"-cos%5E2%28x%29=-cos%5E2%28x%29\"$ ........ $\"true\"$ \r
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