document.write( "Question 733015: Sinx+tanx/1+secx=2cos^2x\r
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document.write( "Im having trouble solving this one. Help would be greatly appreciated. Thanks. \n" );
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Algebra.Com's Answer #448196 by lwsshak3(11628) ![]() You can put this solution on YOUR website! Sinx+tanx/1+secx=2cos^2x \n" ); document.write( "Im having trouble solving this one. Help would be greatly appreciated. Thanks. \n" ); document.write( "*** \n" ); document.write( "Sinx+tanx/1+secx=2cos^2x \n" ); document.write( "[(sinx+(sinx/cosx)]/[(1+(1/cosx)]=2(1-sin^2x) \n" ); document.write( "((cosxsinx+sinx)/cos)/((cosx+1)/cosx)=2-2sin^2x \n" ); document.write( "((sinx(1+cosx)/(cosx+1)=2-2sin^2x \n" ); document.write( "sinx=2-2sin^2x \n" ); document.write( "2sin^2x+sinx-2=0 \n" ); document.write( "solve for sinx using quadratic formula: \n" ); document.write( "a=2, b=1,c=-2 \n" ); document.write( "sinx=[-1±√(1-4*2*-2)]/2*2=-1±√17/4 \n" ); document.write( "sinx=(-1+√17)/4≈0.781 \n" ); document.write( "x≈51.35º \n" ); document.write( "or \n" ); document.write( "sinx≈-1.281(reject, (-1 < sinx < 1) \n" ); document.write( " |