document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=919539>Question 919539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find, to the nearest degree, the positive acute angle or angles that satisfy the equation:\r<BR>\n" );
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document.write( "5sin^2x +1 = 6sin x\r<BR>\n" );
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document.write( "3cos^2x +2 = 7 cos x\r<BR>\n" );
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document.write( "3 sin^2x +4sinx = 4\r<BR>\n" );
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document.write( "sin A = 1-2sin^A\r<BR>\n" );
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document.write( "7sinx = 4+2sin^x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #557984 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=557984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find, to the nearest degree, the positive acute angle or angles that satisfy the equation:<BR>\n" );
document.write( " 5sin^2x +1 = 6sin x<BR>\n" );
document.write( "5sin^2(x) - 6sin(x) + 1 = 0<BR>\n" );
document.write( "Factor::<BR>\n" );
document.write( "(5sin(x)-1)(sin(x)-1) = 0<BR>\n" );
document.write( "sin(x) = 1/5 or sin(x) = 1<BR>\n" );
document.write( "x = arcsin(1/5) or x = arcsin(1)<BR>\n" );
document.write( "x = 11.54 degrees or x = 90 degrees<BR>\n" );
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document.write( "3cos^2x +2 = 7 cos x<BR>\n" );
document.write( "3cos^2(x) - 7cos(x) + 2 = 0<BR>\n" );
document.write( "(3cos(x)-1)(cos(x)-2) = 0<BR>\n" );
document.write( "cos(x) = 1/3 or cos(x) = 2<BR>\n" );
document.write( "arccos(1/3) = 70.53 degrees or x-value is extraneous<BR>\n" );
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document.write( "3 sin^2x +4sinx = 4<BR>\n" );
document.write( "3sin^2(x) + 4sin(x) - 4 = 0<BR>\n" );
document.write( "(3sin(x)-2)(sin(x)+2) = 0<BR>\n" );
document.write( "sin(x) = 2/3 or sin(x) = -2<BR>\n" );
document.write( "x = arcsin(2/3) = 41.81 degrees or x-value is extraneous<BR>\n" );
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document.write( "sin A = 1-2sin^A<BR>\n" );
document.write( "2sin^2(A) - sin(A) - 1 = 0<BR>\n" );
document.write( "Factor::<BR>\n" );
document.write( "(2sin(A) +1)(sin(A)-1) = 0<BR>\n" );
document.write( "sin(A) = -1/2 or sin(A) = 1<BR>\n" );
document.write( "A = arcsin(-1/2) = -30 degrees or A = 90 degrees<BR>\n" );
document.write( "----------------------------------- <BR>\n" );
document.write( "7sinx = 4+2sin^x<BR>\n" );
document.write( "2sin^2(x) - 7sin(x) -4 = 0<BR>\n" );
document.write( "(2sin(x)+1)(sin(x)-4) = 0<BR>\n" );
document.write( "sin(x) = -1/2 or sin(x) = 4<BR>\n" );
document.write( "x = arcsin(-1/2) = -30 degrees or x value is extraneous<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------------ </SPAN>\n" );
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