document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=922219>Question 922219</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would I go about solving this. <BR>\n" );
document.write( "Suppose csct = 4 and tan > 0. FInd the exact value of each of the following <BR>\n" );
document.write( "a. sin(t-6&#960;)<BR>\n" );
document.write( "b. cot(5&#960;-t)<BR>\n" );
document.write( "c. cos(-t)<BR>\n" );
document.write( "d. sin(2t)<BR>\n" );
document.write( "e. cos (t+5&#960;/3) \r<BR>\n" );
document.write( "\n" );
document.write( "I know the opp = &#8730;17 adj = 1 and hyp = 4 but how do I apply those in order to solve these? <BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #559514 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=559514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How would I go about solving this. <BR>\n" );
document.write( "Suppose csct = 4 and tan > 0. FInd the exact value of each of the following<BR>\n" );
document.write( "Since csc positive and tan is positive, the angle is in QI<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "By defition csc = r/y<BR>\n" );
document.write( "Since csc = 4, 4 = 4 and y = 1<BR>\n" );
document.write( "The x = sqrt[4^2-1^] = sqrt(15)<BR>\n" );
document.write( "---------------- <BR>\n" );
document.write( "a. sin(t-6&#960;) = sin(t) = y/r = 1/4<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( " b. cot(5&#960;-t) = cot(pi - t) = tan(t) = y/x = 1/sqrt(15)<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( " c. cos(-t) = cos(t) = x/r = sqrt(15)/4<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( " d. sin(2t) = sin^2(t)-cos^2(t) = (1/4)^2 - (sqrt(15)/4))^2 = (1-15)/16 = -14/16<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( " e. cos (t+5&#960;/3) = cos(t-pi/3) = cos(t)cos(-pi/3)+sin(t)(sin(-pi/3))<BR>\n" );
document.write( "= (sqrt(15)/4)(1/2) + (1/4)(-sqrt(3)/2)<BR>\n" );
document.write( "= [sqrt(15)/8] - [sqrt(3)/8]<BR>\n" );
document.write( "= [sqrt(15)-sqrt(3)]/8<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------- <BR>\n" );
document.write( "I know the opp = &#8730;17 adj = 1 and hyp = 4 but how do I apply those in order to solve these? <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );