document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162231>Question 1162231</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact values of sec(−225∘) and sec(−5𝜋/6). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #785976 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=785976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -225 degrees + 360 is equal to 135 degrees.<BR>\n" );
document.write( "135 degrees is in the second quadrant.<BR>\n" );
document.write( "180 - 135 degrees is equal to 45 degrees.<BR>\n" );
document.write( "45 degrees is the reference angle.<BR>\n" );
document.write( "secant of 45 degrees is equal to 1 / cosine of 45 degrees is equal to 1 / (sqrt(2) / 2.) is equal to 2 / sqrt(2).<BR>\n" );
document.write( "secant is negative in the second quadrant, therefore secant(-225) = -2/sqrt(2).\r<BR>\n" );
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document.write( "-5pi/6 * 180 / pi = -150 degrees.<BR>\n" );
document.write( "-150 + 360 = 210 degrees.<BR>\n" );
document.write( "210 degrees is in the third quadrant.<BR>\n" );
document.write( "210 - 180 = 30 degrees.<BR>\n" );
document.write( "that's the reference angle.<BR>\n" );
document.write( "secant of 30 degrees is equal to 1 / cosine of 30 degrees.<BR>\n" );
document.write( "cosine of 30 degrees is equal to sqrt(3) / 2<BR>\n" );
document.write( "1 / cosine of 30 degrees is equal to 2 / sqrt(3).<BR>\n" );
document.write( "secant is negative in the third quadrant,  therefore secand ot 210 degrees is equal to -2/sqrt(3).\r<BR>\n" );
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document.write( "your solutions are:<BR>\n" );
document.write( "secant(-225) = -2/sqrt(2)<BR>\n" );
document.write( "secant(-150) = -2/sqrt(3)\r<BR>\n" );
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document.write( "these can be seen visually in the following displays.<BR>\n" );
document.write( "first is secant of -225 degrees.<BR>\n" );
document.write( "second is secant of -5pi/6 radians.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2020/071105.jpg\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2020/071106.jpg\" >\r<BR>\n" );
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document.write( "note that -2/sqrt(2) is equal to -1.414 rounded to 3 decimal places and -2/sqrt(3) is equal to -1.155 rounded to 3 decimal places.\r<BR>\n" );
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document.write( "these decimal equivalents for y are shown on the graphs.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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