document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388619>Question 388619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Solve algebraically the equation 15sin2x°=10cosx° for 0&#8804;x<360\r<BR>\n" );
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document.write( "Can you provide full working.\r<BR>\n" );
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document.write( "Andy. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #274985 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=274985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 15 sin 2x = 10 cos x. By double-angle formula, sin 2x = 2 sin x cos x, so\r<BR>\n" );
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document.write( "30 sin x cos x = 10 cos x. Move 10 cos x to the other side and divide by 10\r<BR>\n" );
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document.write( "3 sin x cos x - cos x = 0\r<BR>\n" );
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document.write( "cos x (3 sin x - 1) = 0\r<BR>\n" );
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document.write( "cos x = 0 or sin x = 1/3\r<BR>\n" );
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document.write( "x = 90, 270, or x = arcsin (1/3) </SPAN>\n" );
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