document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=940256>Question 940256</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is an acute angle theta that satidfies the equation sin theta= cos(2 theta + 33 degrees)  Theta=__ degrees </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #573041 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=573041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is an acute angle theta that satisfies the equation sin theta= cos(2 theta + 33 degrees) <BR>\n" );
document.write( "***<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29=cos%28theta%29%2B33+deg%29 ALIGN=MIDDLE  ALT=\"sin%28theta%29=cos%28theta%29%2B33+deg%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "consider theta and (theta+33) to be complementary angles.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28theta%29%2B%28theta%29%2B33+deg=90%29 ALIGN=MIDDLE  ALT=\"%28theta%29%2B%28theta%29%2B33+deg=90%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2theta+33=90<BR>\n" );
document.write( "2theta=57<BR>\n" );
document.write( "theta=28.5&#730;<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "sin(28.5)&#8776;0.477...<BR>\n" );
document.write( "cos(28.5+33)=cos(61.5)&#8776;0.477...<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );