document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=308803>Question 308803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hey, i am doing a exam review packet for my math class. i am having a ton of problems with all this trig stuff, i get the unit circle and everything like that but for some reason i am having a tough time getting it.<BR>\n" );
document.write( "here are a few of the problems that i am having trouble with. <BR>\n" );
document.write( "prove<BR>\n" );
document.write( "cos (270-X)= -sinX<BR>\n" );
document.write( "sin(X+(pi/2))=cosX<BR>\n" );
document.write( "find exact solutions <BR>\n" );
document.write( "2cosX- square root of 2=0<BR>\n" );
document.write( "2cos^2 X-cosX-1=0<BR>\n" );
document.write( "cos^2 -sin^2+1=0<BR>\n" );
document.write( "4sin^2 X+4cosX -1=0<BR>\n" );
document.write( "sin((pi/3)-(pi/2))<BR>\n" );
document.write( "cos((3pi/2)+(pi/3))<BR>\n" );
document.write( "simplify into a single trig func<BR>\n" );
document.write( "(sec^2 X)(cotX)(sin^2 X)<BR>\n" );
document.write( "(sinX)(cot^2 X+1)<BR>\n" );
document.write( "(tan^2 X)/(sec X+1)<BR>\n" );
document.write( "(cos 2X+sin^2 X)/ (sin 2X) <BR>\n" );
document.write( "while i would love the answers =P please also give me a quick run down of why the answer is what it is. i have gone to my teacher but i am still having trouble so i am hope the internet can help me out thanks so much!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #220800 by </B><A HREF=/tutors/aboutme.mpl?userid=user_dude2008><B>user_dude2008(1862)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=user_dude2008><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=220800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> cos (270-X)= -sinX\r<BR>\n" );
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document.write( "cos(270)cos(x)+sin(270)sin(x)= -sin(x)\r<BR>\n" );
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document.write( "0*cos(x)-1*sin(x)= -sin(x)\r<BR>\n" );
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document.write( "-sin(x)= -sin(x)\r<BR>\n" );
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document.write( "-----------------------------------------\r<BR>\n" );
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document.write( "sin(x+(pi/2))=cos(x)\r<BR>\n" );
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document.write( "sin(x)cos(pi/2)+cos(x)sin(pi/2)=cos(x)\r<BR>\n" );
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document.write( "sin(x)*0+cos(x)*1=cos(x)\r<BR>\n" );
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document.write( "cos(x)=cos(x)\r<BR>\n" );
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document.write( "2cos(x)-sqrt(2)=0\r<BR>\n" );
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document.write( "2cos(x)=sqrt(2)\r<BR>\n" );
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document.write( "cos(x)=sqrt(2)/2\r<BR>\n" );
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document.write( "x = -pi/4+2pi*n or x = pi/4+2pi*n\r<BR>\n" );
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document.write( "----------------------------------------\r<BR>\n" );
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document.write( "2cos^2(x)-cos(x)-1=0\r<BR>\n" );
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document.write( "2z^2-z-1=0\r<BR>\n" );
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document.write( "(2z+1)(z-1)=0 .... z = cos(x)\r<BR>\n" );
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document.write( "(2cos(x)+1)(cos(x)-1)=0\r<BR>\n" );
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document.write( "2cos(x)+1=0 or cos(x)-1=0\r<BR>\n" );
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document.write( "cos(x)=-1/2 or cos(x)=1\r<BR>\n" );
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document.write( "cos(x)=-1/2 ----> x = 2pi/3+2pi*n or x = 4pi/3+2pi*n\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "cos(x)=1 ----> x = 2pi*n\r<BR>\n" );
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document.write( "-------------------------------------------------\r<BR>\n" );
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document.write( "cos^2(x)-sin^2(x)+1=0\r<BR>\n" );
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document.write( "cos^2(x)+(1-sin^2(x))=0\r<BR>\n" );
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document.write( "cos^2(x)+cos^2(x)=0\r<BR>\n" );
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document.write( "2cos^2(x)=0\r<BR>\n" );
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document.write( "cos^2(x)=0\r<BR>\n" );
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document.write( "cos(x)=0\r<BR>\n" );
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document.write( "x = pi/2+2pi*n or x = 3pi/2+2pi*n\r<BR>\n" );
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document.write( "----> x = pi/2+pi*n\r<BR>\n" );
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document.write( "---------------------------------------------\r<BR>\n" );
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document.write( "4sin^2(x)+4cos(x) -1=0\r<BR>\n" );
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document.write( "4(1-cos^2(x))+4cos(x) -1=0\r<BR>\n" );
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document.write( "4-4cos^2(x)+4cos(x) -1=0\r<BR>\n" );
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document.write( "-4cos^2(x)+4cos(x) +3=0\r<BR>\n" );
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document.write( "4cos^2(x)-4cos(x)-3=0\r<BR>\n" );
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document.write( "(2cos(x)+1)(2cos(x)-3)=0\r<BR>\n" );
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document.write( "2cos(x)+1=0 or 2cos(x)-3=0\r<BR>\n" );
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document.write( "cos(x)=-1/2 or cos(x)=3/2\r<BR>\n" );
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document.write( "cos(x)=-1/2 ----> x = 2pi/3+2pi*n or x = 4pi/3+2pi*n\r<BR>\n" );
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document.write( "or \r<BR>\n" );
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document.write( "cos(x)=3/2 ---> no solutions\r<BR>\n" );
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document.write( "-----------------------------------------------\r<BR>\n" );
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document.write( "sin((pi/3)-(pi/2))\r<BR>\n" );
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document.write( "sin((2pi/6)-(3pi/6))\r<BR>\n" );
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document.write( "sin(-pi/6)\r<BR>\n" );
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document.write( "-sin(pi/6)\r<BR>\n" );
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document.write( "-1/2\r<BR>\n" );
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document.write( "------------------------------\r<BR>\n" );
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document.write( "cos((3pi/2)+(pi/3))\r<BR>\n" );
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document.write( "cos((9pi/6)+(2pi/6))\r<BR>\n" );
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document.write( "cos(11pi/6)\r<BR>\n" );
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document.write( "sqrt(3)/2 </SPAN>\n" );
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