document.write( "Question 1207278: cos(2x+10)=sin(x+20)
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Algebra.Com's Answer #845057 by amarjeeth123(571)\"\" \"About 
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The given equation is cos(2x+10)=sin(x+20)
\n" ); document.write( "We have cos(90-theta)=sin(theta)
\n" ); document.write( "Substituting the values we get,
\n" ); document.write( "90-theta=2x+10........(1)
\n" ); document.write( "theta=x+20............(2)
\n" ); document.write( "We have simultaneous equations in two unknowns.
\n" ); document.write( "Adding equations 1 and 2 we get,
\n" ); document.write( "90-theta+theta=2x+10+x+20
\n" ); document.write( "90=3x+30
\n" ); document.write( "3x+30=90
\n" ); document.write( "3x=90-30=60
\n" ); document.write( "x=12
\n" ); document.write( "The answer is x=12.
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