document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=710533>Question 710533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the cofunction identities to evaluate the expression.\r<BR>\n" );
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document.write( "sin^2 (18 Degrees) + sin^2 (40 Degrees) + Sin^2 (50 Degrees)+ sin^2 (72 Degrees)\r<BR>\n" );
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document.write( "I'm honestly stumped after hours of attempts, will anyone assist me in my struggle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437024 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=437024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a right triangle, the two acute angles are complementary,<BR>\n" );
document.write( "meaning that their measures add up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90 ALIGN=MIDDLE  ALT=\"90\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The way sine and cosine were defined based on a right triangle,<BR>\n" );
document.write( "sine of an angle is the cosine of the complement.<BR>\n" );
document.write( "(It works if you define sine and cosine based on the unit circle too).<BR>\n" );
document.write( "Something similar happens with tangent and cotangent,<BR>\n" );
document.write( "and with secant and cosecant.<BR>\n" );
document.write( "For all the trigonometric functions the function of an angle<BR>\n" );
document.write( "equals the cofunction of the complement.<BR>\n" );
document.write( "Those are the cofunction identities.<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%5Eo%2B72%5Eo=90%5Eo ALIGN=MIDDLE  ALT=\"18%5Eo%2B72%5Eo=90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "angles measuring <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%5Eo ALIGN=MIDDLE  ALT=\"18%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72%5Eo ALIGN=MIDDLE  ALT=\"72%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > are complementary,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2872%5Eo%29=cos%2818%5Eo%29 ALIGN=MIDDLE  ALT=\"sin%2872%5Eo%29=cos%2818%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%2818%5Eo%29%29%5E2%2B%28sin%2872%5Eo%29%29%5E2=%28sin%2818%5Eo%29%29%5E2%2B%28cos%2818%5Eo%29%29%5E2=1 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "Also , since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%5Eo%2B50%5Eo=90%5Eo ALIGN=MIDDLE  ALT=\"40%5Eo%2B50%5Eo=90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "angles measuring <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%5Eo ALIGN=MIDDLE  ALT=\"40%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%5Eo ALIGN=MIDDLE  ALT=\"50%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > are complementary,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2850%5Eo%29=cos%2840%5Eo%29 ALIGN=MIDDLE  ALT=\"sin%2850%5Eo%29=cos%2840%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%2840%5Eo%29%29%5E2%2B%28sin%2850%5Eo%29%29%5E2=%28sin%2840%5Eo%29%29%5E2%2B%28cos%2840%5Eo%29%29%5E2=1 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "Putting it all together:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%2818%5Eo%29%29%5E2%2B%28sin%2840%5Eo%29%29%5E2%2B%28sin%2850%5Eo%29%29%5E2%2B%28sin%2872%5Eo%29%29%5E2=%0D%0A%28sin%2818%5Eo%29%29%5E2%2B%28sin%2872%5Eo%29%29%5E2%2B%28sin%2840%5Eo%29%29%5E2%2B%28sin%2850%5Eo%29%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%2818%5Eo%29%29%5E2%2B%28cos%2818%5Eo%29%29%5E2%2B%28sin%2840%5Eo%29%29%5E2%2B%28cos%2840%5Eo%29%29%5E2=1%2B1=highlight%282%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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