document.write( "Question 741810: Find all solutions of the equation tan^2(x)=1-sec(x) and list all the solutions that are in the interval [0,2x) \n" ); document.write( "
Algebra.Com's Answer #452165 by lwsshak3(11628)\"\" \"About 
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Find all solutions of the equation tan^2(x)=1-sec(x) and list all the solutions that are in the interval [0,2π)
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\n" ); document.write( "\"tan%5E2%28x%29=sec%28x%29\"
\n" ); document.write( "\"sin%5E2%28x%29%2Fcos%5E2%28x%29=1-1%2Fcos%28x%29\"
\n" ); document.write( "\"LCD%3Acos%5E2%28x%29\"
\n" ); document.write( "\"1-cos%5E2%28x%29=cos%5E2%28x%29-cos%28x%29\"
\n" ); document.write( "\"2cos%5E2%28x%29-cos%28x%29-1=0%29\"
\n" ); document.write( "(2cos(x)+1)(cos(x)-1)=0
\n" ); document.write( "2cos(x)+1=0
\n" ); document.write( "cos(x)=-1/2
\n" ); document.write( "x=2π/3,4π/3
\n" ); document.write( "or
\n" ); document.write( "cos(x)-1=0
\n" ); document.write( "cos(x)=1
\n" ); document.write( "x=0\r
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