document.write( "Question 733015: Sinx+tanx/1+secx=2cos^2x\r
\n" ); document.write( "\n" ); document.write( "Im having trouble solving this one. Help would be greatly appreciated. Thanks.
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Algebra.Com's Answer #448196 by lwsshak3(11628)\"\" \"About 
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Sinx+tanx/1+secx=2cos^2x
\n" ); document.write( "Im having trouble solving this one. Help would be greatly appreciated. Thanks.
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\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)
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