document.write( "Question 454345: How do you solve:\r
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document.write( "3tan^2(x)+4sec(x)=-4 \n" );
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Algebra.Com's Answer #312085 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! How do you solve: \n" ); document.write( "3tan^2(x)+4sec(x)=-4 \n" ); document.write( "0 \n" ); document.write( "3tan^2(x)+4sec(x)=-4 \n" ); document.write( "Using identity: tan^(x)+1=sec^2(x) \n" ); document.write( "3(sec^2(x)-1)+4sec(x)=-4 \n" ); document.write( "3sec^2(x)-3+4sec(x)=-4 \n" ); document.write( "3sec^2(x)-3+4sec(x)+4=0 \n" ); document.write( "3sec^2(x)+4sec(x)+1=0 \n" ); document.write( "(3sec(x)+1)(sec(x)+1)=0 \n" ); document.write( "sec(x)=-1/3 \n" ); document.write( "cos(x)=-3 (reject, (-1 < cos(x) <1) \n" ); document.write( "sec(x)=-1 \n" ); document.write( "cos(x)=-1 \n" ); document.write( "x=180º or π radians |