document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1115048>Question 1115048</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me answer the following question:\r<BR>\n" );
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document.write( "\"Two voltages:<BR>\n" );
document.write( "V1 = 6 cos(10t), V2 = 8 sin(10t)<BR>\n" );
document.write( "are inputs to a circuit. Determine an expression for the output voltage, v, if this is given by:<BR>\n" );
document.write( "V = V1 + V2 = A sin(10t + &#945;)<BR>\n" );
document.write( "i.e. determine the values of A and &#945;, where &#945; is in radians\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #729999 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=729999\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a*cos(x) + b*sin(x) = c * sin(x + p)\r<BR>\n" );
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document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28a%5E2%2Bb%5E2%29+ ALIGN=MIDDLE  ALT=\"+sqrt%28a%5E2%2Bb%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "p = phase shift = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%5E-1%28a%2Fb%29+ ALIGN=MIDDLE  ALT=\"+tan%5E-1%28a%2Fb%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "You have<BR>\n" );
document.write( "  a=6<BR>\n" );
document.write( "  b=8<BR>\n" );
document.write( "  (and x=10t which just gets carried along)\r<BR>\n" );
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document.write( "so you can plug in to find\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28V+=++V%5B1%5D+%2B+V%5B2%5D+=+10sin%2810t+%2B+36.8699%5Eo%29+%29+ ALIGN=MIDDLE  ALT=\"+highlight%28V+=++V%5B1%5D+%2B+V%5B2%5D+=+10sin%2810t+%2B+36.8699%5Eo%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "——<BR>\n" );
document.write( "To get the phase shift in radians:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36.8699+%2A+%28+pi%2F180+%29++=+0.6435+ ALIGN=MIDDLE  ALT=\"+36.8699+%2A+%28+pi%2F180+%29++=+0.6435+\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians   </SPAN>\n" );
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