document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1090324>Question 1090324</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Approximate, to the nearest 10l, the solutions of the equation that are in<BR>\n" );
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document.write( "tantheta = 2.798\r<BR>\n" );
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document.write( "I don't knoq what to do. Please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #704775 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=704775\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you're looking at tangent of theta = 2.798.\r<BR>\n" );
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document.write( "find the arc tangent of 2.798 and it will tell you that the angle whose tangent is 2.798 is equal to 70.3332048 degrees.\r<BR>\n" );
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document.write( "that would be the angle in the first quadrant of the unit circle.\r<BR>\n" );
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document.write( "the tangent is positive in the first quadrant and the third quadrant.\r<BR>\n" );
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document.write( "the angle in the third quadrant that is equivalent to 70.3332048 degrees in the first quadrant is equal to 180 + 70.3332048 which is equal to 250.3332048 degrees.\r<BR>\n" );
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document.write( "your two solutions are 70.3332048 degrees and 250.3332048 degrees.\r<BR>\n" );
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document.write( "if you drew a graph of the tangent function, it would look like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/081305.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "these angles are equivalent because the value of their tangent function is the same.\r<BR>\n" );
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document.write( "tangent of 70.3332048 degrees is equal to 2.798\r<BR>\n" );
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document.write( "tangent of 250.3332048 degrees is equal to 2.798\r<BR>\n" );
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document.write( "if you looked at the angle whose tangent is 2.798 on the unit circle, it would look like this in the first quadrant.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/081302.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "the tangent in the first quadrant is positive because the sine and the cosine are positive.\r<BR>\n" );
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document.write( "it would look like this in this in the third quadrant.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/081304.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "the reference angle is the same as the angle in the first quadrant.\r<BR>\n" );
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document.write( "it would look like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/081303.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "the tangent in the third quadrant is positive because the sine and the cosine are negative.\r<BR>\n" );
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document.write( "tangent = sine / cosine\r<BR>\n" );
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document.write( "positive / positive = positive (first quadrant)\r<BR>\n" );
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document.write( "negative / negative = positive (third quadrant)\r<BR>\n" );
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document.write( "here's a reference on the unit circle.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U19_L1_T3_text_final.html\" target = \"_blank\">http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U19_L1_T3_text_final.html</a>\r<BR>\n" );
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document.write( "if you ave any questions about this, let me know and i'll answer as best i can.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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