document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164806>Question 1164806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for theta:sin-sec+csn-tan2=-0.0866 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853518 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853518\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It appears there are a few typos in your expression. Based on standard trigonometric shorthand, I will interpret your equation as:\r<BR>\n" );
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document.write( "If \"csn\" was meant to be **** and \"tan2\" meant ****, we can solve it as follows:\r<BR>\n" );
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document.write( "### 1. Simplify the Trigonometric Terms\r<BR>\n" );
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document.write( "First, let's rewrite everything in terms of  and  to see if the expression simplifies.\r<BR>\n" );
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document.write( "* <BR>\n" );
document.write( "* \r<BR>\n" );
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document.write( "Now, substitute these back into the equation:\r<BR>\n" );
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document.write( "### 2. Find a Common Denominator\r<BR>\n" );
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document.write( "Since , the equation becomes:\r<BR>\n" );
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document.write( "### 3. Solve for \r<BR>\n" );
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document.write( "This is a transcendental equation, which usually requires numerical methods or a graphing calculator to solve precisely. However, we can test small values since  is close to zero.\r<BR>\n" );
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document.write( "If we let :\r<BR>\n" );
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document.write( "* If , then .<BR>\n" );
document.write( "* Since the result is slightly negative (),  must be a small negative angle.\r<BR>\n" );
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document.write( "Using the small-angle approximation where  and :\r<BR>\n" );
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document.write( "Using the quadratic formula :\r<BR>\n" );
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document.write( "### 4. Convert to Degrees\r<BR>\n" );
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document.write( "Checking this in the original equation:<BR>\n" );
document.write( " (Very close to ).\r<BR>\n" );
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document.write( "**Solution:**\r<BR>\n" );
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document.write( "*(Note: If the \"tan2\" in your prompt meant  or if \"csn\" meant something else, the solution would change.)*\r<BR>\n" );
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document.write( "**Would you like me to re-calculate this using a different interpretation of the symbols?** </SPAN>\n" );
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