document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=291009>Question 291009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The equation y-2sin&#920;=3 may be rewritten as<BR>\n" );
document.write( "(1) f(y)=2sinx+3<BR>\n" );
document.write( "(2) f(y)=2sin&#920;+3<BR>\n" );
document.write( "(3) f(x)=2sin&#920;+3<BR>\n" );
document.write( "(4) f(&#920;)=2sin&#920;+3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210554 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=210554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-2sin%28theta%29=3 ALIGN=MIDDLE  ALT=\"y-2sin%28theta%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2sin%28theta%29%2B3 ALIGN=MIDDLE  ALT=\"y=2sin%28theta%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sin%28theta%29 ALIGN=MIDDLE  ALT=\"2sin%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28theta%29=2sin%28theta%29%2B3 ALIGN=MIDDLE  ALT=\"f%28theta%29=2sin%28theta%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace 'y' with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28theta%29 ALIGN=MIDDLE  ALT=\"f%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "You may be tempted to use 'x' (since f(x) is probably very familiar to you), but you'll see that there is no 'x' terms at all. More importantly, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the variable in question, which is why we're using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > instead of 'x'.\r<BR>\n" );
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document.write( "We're doing this last step to make a function (we're just changing notation). So this means that the answer is choice (4). </SPAN>\n" );
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