document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=38147>Question 38147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help using special right triangles to find the exact values of sines and cosines for each angle. For example: find the values of sine and cosine for the angle -135 degrees. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #24065 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=24065\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need help using special right triangles to find the exact values of sines and cosines for each angle. For example: find the values of sine and cosine for the angle -135 degrees.<BR>\n" );
document.write( "FIRST LEARN THE TRIGNOMETRIC RATIOS FOR STANDARD TRIANGLES.<BR>\n" );
document.write( "THEN LEARN WHICH QUADRANT THE ANGLE IS <BR>\n" );
document.write( "USE ALL SILVER TEA CUPS CONVENTION ,TO KNOW THE SIGN OF THE TRIGNOMETRIC RATIO.<BR>\n" );
document.write( "IF ANGLE IS IN I QUADRANT ...THEN...ALL ARE +VE<BR>\n" );
document.write( "...............II.......................SINE ONLY IS +VE<BR>\n" );
document.write( "...............III......................TANGENT ONLY IS +VE<BR>\n" );
document.write( "................IV.......................COSINE ONLY IS +VE.<BR>\n" );
document.write( "NOW WRITE GIVEN ANGLE AS 0+X..OR...0-X...OR....180+ OR - X ....OR....360+ OR -X ETC....<BR>\n" );
document.write( "YOUR EXAMPLE OF -135<BR>\n" );
document.write( "SINE (0-135)=-SIN(135)..........0-X..MEANS IV Q...SINE IS -VE.<BR>\n" );
document.write( "-1*SIN(135)=-SIN(180-45)=-SIN(45).....180-X MEANS II Q. SINE IS POSITIVE.<BR>\n" );
document.write( "-1*SIN45=-1/SQRT(2)<BR>\n" );
document.write( "GET BY HEART THE STANDARD TABLES FOR 0,30,45,60,90.<BR>\n" );
document.write( "SIMILARLY COS (0-135)=COS(135)=COS(180-45)=-COS(45)=-1/SQRT2\r<BR>\n" );
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document.write( "0  </SPAN>\n" );
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