document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253677>Question 253677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with a very difficult math assignment i have recieved my math teachers makes it way more complicated then it has to be.\r<BR>\n" );
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document.write( "1.) if sin x= (12/13), cos y=(3/5) and x and y are acute angles, the value of cos(x-y) is <BR>\n" );
document.write( "a.(21/65) b.(63-65) c. -(14/65) d. -(33/65)\r<BR>\n" );
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document.write( "2.) if the tangent of an angle is negative and its secant is positive, in which quadrant does the angle terminate<BR>\n" );
document.write( "1,2,3 or 4 i thought it was the second quadrant but i dont understand the term terminate i wasnt sure if that ment the opposite of what it was.\r<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 #186034 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=186034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.) if sin x= (12/13), cos y=(3/5) and x and y are acute angles, the value of cos(x-y) is <BR>\n" );
document.write( "a.(21/65) b.(63/65) c. -(14/65) d. -(33/65)<BR>\n" );
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document.write( "cos(x-y) = cos(x)cos(y)+sin(x)sin(y)<BR>\n" );
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document.write( "Since sin(x) = 12/13, cos(x)=5/13<BR>\n" );
document.write( "Since cos(y) = 3/5, sin(y) = 4/5<BR>\n" );
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document.write( "Therefore:<BR>\n" );
document.write( "cos(x-y) = (5/13)(3/5)+(12/13)(4/5) = (63/65)<BR>\n" );
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document.write( "2.) if the tangent of an angle is negative and its secant is positive, in which quadrant does the angle terminate<BR>\n" );
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document.write( "tangent is negative in the 2nd and 4th quadrants<BR>\n" );
document.write( "secant is positive in the 1st and 4th quadrants.<BR>\n" );
document.write( "Therefore the angle is in the 4th quadrant.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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