document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203868>Question 1203868</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the given function value and the trigonometric identities to find the exact value of each indicated trigonometric function \r<BR>\n" );
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document.write( "0° ≤ 𝜃 ≤ 90°, 0 ≤ 𝜃 ≤ <BR>\n" );
document.write( "𝜋<BR>\n" );
document.write( "2\r<BR>\n" );
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document.write( "sec(𝜃) = 3\r<BR>\n" );
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document.write( "(a)<BR>\n" );
document.write( "cos(𝜃)<BR>\n" );
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document.write( "(b)<BR>\n" );
document.write( "cot(𝜃)<BR>\n" );
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document.write( "(c)<BR>\n" );
document.write( "csc(𝜃)<BR>\n" );
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document.write( "(d)<BR>\n" );
document.write( "sin(𝜃)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839748 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=839748\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> secant(theta) = hypotenuse / adjacent side = 3<BR>\n" );
document.write( "if hypotenuse = 3, then adjacent side = 1<BR>\n" );
document.write( "pythagorus says that hypotenuse squared minus adjacent side squared = opposite side squared.<BR>\n" );
document.write( "this means thqt 3^2 - 1^2 = opposite side squared = 8.<BR>\n" );
document.write( "this means that opposite side = sqrt(8)\r<BR>\n" );
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document.write( "you have:<BR>\n" );
document.write( "adjacent side = 1<BR>\n" );
document.write( "opposite side = sqrt(8)<BR>\n" );
document.write( "hypotenuse = 3\r<BR>\n" );
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document.write( "(a)<BR>\n" );
document.write( "cos(𝜃) = adjacent side / hypotenuse = 1/3\r<BR>\n" );
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document.write( "(b)<BR>\n" );
document.write( "cot(𝜃) adjacent side / opposite sidde = 1/sqrt(8)\r<BR>\n" );
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document.write( "(c)<BR>\n" );
document.write( "csc(𝜃) = hypotenuse / opposite side = 3/sqrt(8)\r<BR>\n" );
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document.write( "(d)<BR>\n" );
document.write( "sin(𝜃) = opposite side / hypotenuse = sqrt(8)/3\r<BR>\n" );
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document.write( "here's a diagram of the basic trig functions.\r<BR>\n" );
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