document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=719291>Question 719291</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. I have the following trigonometric question to answer but im stuck. Please note the B in the equation is Beta. Solve the following for between 0 and 360 degrees: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2B4+sin+B%29%283-2+sin+B%29=2+ ALIGN=MIDDLE  ALT=\"+%281%2B4+sin+B%29%283-2+sin+B%29=2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "I have done the following: 3-2sinB + 12sinB - 8sin^2B = 2, which then goes to -8sin^2B + 10sinB +1 = 0\r<BR>\n" );
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document.write( "Is my next step to transform this into a quadratic equation? and then work out both sections individually as equalling zero?\r<BR>\n" );
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document.write( "Any advice would be great. Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #441296 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=441296\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the following for B between 0 and 360 degrees: <BR>\n" );
document.write( "(1+4 sin B)(3-2 sin B)=2<BR>\n" );
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document.write( "Let x = sin(B)<BR>\n" );
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document.write( "(1+4x)(3-2x) = 2<BR>\n" );
document.write( "3 + 10x - 8x^2 = 2<BR>\n" );
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document.write( "8x^2 -10x - 1 = 0<BR>\n" );
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document.write( "x = [10 +- sqrt(100-4*8*-1)]/16<BR>\n" );
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document.write( "x = [10 +- sqrt(132)]/16<BR>\n" );
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document.write( "Usable solution:<BR>\n" );
document.write( "x = -0.0931<BR>\n" );
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document.write( "Solve for \"B\"<BR>\n" );
document.write( "sin(B) = -0.0931<BR>\n" );
document.write( "B = sin^-1(-0.0931) = 354.66 degrees or B = 185.34 degrees<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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