document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=484186>Question 484186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> let theta be an angle in quadrant 4 such that cos theta = 7/8. find exact values of csc theta and cot theta </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #331307 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=331307\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let theta be an angle in quadrant 4 such that cos theta = 7/8. find exact values of csc theta and cot theta<BR>\n" );
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document.write( "Cosine is positive in Q4; only y values are negative in Q4.<BR>\n" );
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document.write( "Since cos(theta) = 7/8, x = 7 and r = 8<BR>\n" );
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document.write( "Then y = sqrt[8^2-7^2] = sqrt[15]<BR>\n" );
document.write( "So y = -sqrt(15)<BR>\n" );
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document.write( "csc(theta) = r/y = 8/(-sqrt(15)) = -8/sqrt(15)<BR>\n" );
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document.write( "cot(theta) = x/y = 7/(-sqrt(15)) = -7/sqrt(15)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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