document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1102187>Question 1102187</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given that x degrees is an angle in the First quadrant that 8sin^2 + 2cosx - 5 = 0<BR>\n" );
document.write( "a) find cos x<BR>\n" );
document.write( "b) find tan x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #716849 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=716849\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given that x degrees is an angle in the First quadrant that 8sin^2 + 2cosx - 5 = 0<BR>\n" );
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document.write( "8sin^2 + 2cosx - 5 = 0<BR>\n" );
document.write( "8(1-cos^2) + 2cosx - 5 = 0<BR>\n" );
document.write( "8 - 8cos^2 + 2cos - 5 = 0<BR>\n" );
document.write( "8cos^2 - 2cos - 3 = 0<BR>\n" );
document.write( "(2cos + 1)*(4cos - 3) = 0<BR>\n" );
document.write( "cos(x) = -1/2 (not in Q1)<BR>\n" );
document.write( "cos(x) = 3/4<BR>\n" );
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document.write( "a) find cos x<BR>\n" );
document.write( "= 3/4<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "b) find tan x<BR>\n" );
document.write( "sin(x) = sqrt(1 - cos^2(x)) = sqrt(7)/4<BR>\n" );
document.write( "tan = sin/cos<BR>\n" );
document.write( "tan(x) = sqrt(7)/3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );