document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133377>Question 133377</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find each positive angle in the interval [0(degrees),360(degrees)).  Remember to find reference angle first.  Round to two decimal places.<BR>\n" );
document.write( "a.) If 2cot theta - 3=7, find family member of theta in Q2.<BR>\n" );
document.write( "b.) If sec beta = -3, find family member of beta in Q4.<BR>\n" );
document.write( "c.) csc alpha = 5.2, when sec alpha < 0 (there are two angles).     </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97569 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=97569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find each positive angle in the interval [0(degrees),360(degrees)). Remember to find reference angle first. Round to two decimal places.<BR>\n" );
document.write( "a.) If 2cot theta - 3=7, find family member of theta in Q2.<BR>\n" );
document.write( "2cot(theta) = 10<BR>\n" );
document.write( "cot(theta) = 5<BR>\n" );
document.write( "tan(theta) = 1/5<BR>\n" );
document.write( "theta = 11.309 (reference angle)<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Note: cot is not positive in the 2nd quadrant<BR>\n" );
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document.write( "b.) If sec beta = -3, find family member of beta in Q4.<BR>\n" );
document.write( "Note: secant is not negative in the 4th quadrant<BR>\n" );
document.write( "---------------------\r<BR>\n" );
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document.write( "c.) csc alpha = 5.2, when sec alpha < 0 (there are two angles).<BR>\n" );
document.write( "sin(alpha) = 1/5.2 = 0.1923...<BR>\n" );
document.write( "alpha1 = 11.087... degrees (reference angle)<BR>\n" );
document.write( "Other angle where sin(theta)= 1/5.2<BR>\n" );
document.write( "alpha2 = 180-11.087= 168.9125...<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );