document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=552037>Question 552037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am told to use my trigonometric tables and then find (a) find sin 26.1 degrees<BR>\n" );
document.write( "and then (b) find the acute angle, 0, to the nearest tenth of a degree if cos0=.8084.<BR>\n" );
document.write( "-These 0 are strange 0's with a line in the middle of the zero.<BR>\n" );
document.write( "If someone could please help me with this and explain fully, I'm so confused in this area of Algebra I'm learning.\r<BR>\n" );
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document.write( "Thanks a lot! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #360042 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=360042\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Angles are often represented with Greek letters.<BR>\n" );
document.write( "The Greek letter theta looks like this <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Half a century ago, we used to look up values for sine and cosine in trigonometric tables. (We also looked up logarithms in tables. There were no calculators back then). I have not looked at a trigonometric table for a long time. Your table may be different from the ones I have seen. The one I used back then would have angle measurements in degrees on a column on the left, with (additional) fractions of a degree as headings on a line at the top. On the right hand side we had a column with the measure of the complementary angle in degrees (with additional fractions on a line at the bottom. The numbers in the middle of the table were sine of the angle read at left and cosine of the supplementary angle read at right.<BR>\n" );
document.write( "I could not find my old table, but I have an abbreviated one. It tells me that<BR>\n" );
document.write( "(a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2826.1degrees%29=0.4400 ALIGN=MIDDLE  ALT=\"sin%2826.1degrees%29=0.4400\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(b) It also says that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%2836.06degrees%29 ALIGN=MIDDLE  ALT=\"cos%2836.06degrees%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is about 0.8084.<BR>\n" );
document.write( "So if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29=0.8084 ALIGN=MIDDLE  ALT=\"cos%28theta%29=0.8084\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=36.1degrees ALIGN=MIDDLE  ALT=\"theta=36.1degrees\"   DISABLED_style= \"max-width:90%; height:auto;\" > (to the nearest tenth of a degree). Because trigonometric functions are periodic, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29=+cos%28-theta%29 ALIGN=MIDDLE  ALT=\"cos%28theta%29=+cos%28-theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, there are infinity of other angles with the same cosine, like -36.1 degrees, (-36.1+360) degrees, (-36.1+720) degrees, and so on, as well as (36.1+360) degrees, (36.1+720) degrees, and so on. However, the only acute angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29=0.8084 ALIGN=MIDDLE  ALT=\"cos%28theta%29=0.8084\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 36.1 degrees.<BR>\n" );
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