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<FONT SIZE=1 COLOR=#660033>Microsoft&#174; Visual Basic&#174; Scripting Edition</FONT><BR>
<FONT SIZE=5 COLOR=#660033><B>Derived Math Functions</B></FONT>

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<FONT SIZE=2>&nbsp;<A HREF="vbstoc.htm">Language&nbsp;Reference</A>&nbsp;<BR>
<A HREF="vbs16.htm">Version&nbsp;1</A>&nbsp;<P></FONT>

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<P><FONT SIZE=2><A HREF="vbs227.htm">See Also</A></FONT>
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<H5>Description</H5>
<BLOCKQUOTE>The following nonintrinsic math functions can be derived from the intrinsic math functions:<P>

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<TD><FONT SIZE=2><b>Function</b></FONT></TD>
<TD><FONT SIZE=2><b>Derived equivalents</b></FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Secant</FONT></TD>
<TD><FONT SIZE=2>Sec(X) = 1 / Cos(X)</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Cosecant</FONT></TD>
<TD><FONT SIZE=2>Cosec(X) = 1 / Sin(X)</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Cotangent</FONT></TD>
<TD><FONT SIZE=2>Cotan(X) = 1 / Tan(X)</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Inverse Sine</FONT></TD>
<TD><FONT SIZE=2>Arcsin(X) = Atn(X / Sqr(-X * X + 1))</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Inverse Cosine</FONT></TD>
<TD><FONT SIZE=2>Arccos(X) = Atn(-X / Sqr(-X * X + 1)) + 2 * Atn(1)</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Inverse Secant</FONT></TD>
<TD><FONT SIZE=2>Arcsec(X) = Atn(X / Sqr(X * X - 1)) + Sgn((X) -1) * (2 * Atn(1))</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Inverse Cosecant</FONT></TD>
<TD><FONT SIZE=2>Arccosec(X) = Atn(X / Sqr(X * X - 1)) + (Sgn(X) - 1) * (2 * Atn(1))</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Inverse Cotangent</FONT></TD>
<TD><FONT SIZE=2>Arccotan(X) = Atn(X) + 2 * Atn(1)</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Hyperbolic Sine</FONT></TD>
<TD><FONT SIZE=2>HSin(X) = (Exp(X) - Exp(-X)) / 2 </FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Hyperbolic Cosine</FONT></TD>
<TD><FONT SIZE=2>HCos(X) = (Exp(X) + Exp(-X)) / 2</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Hyperbolic Tangent</FONT></TD>
<TD><FONT SIZE=2>HTan(X) = (Exp(X) - Exp(-X)) / (Exp(X) + Exp(-X))</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Hyperbolic Secant</FONT></TD>
<TD><FONT SIZE=2>HSec(X) = 2 / (Exp(X) + Exp(-X))</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Hyperbolic Cosecant</FONT></TD>
<TD><FONT SIZE=2>HCosec(X) = 2 / (Exp(X) - Exp(-X))</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Hyperbolic Cotangent</FONT></TD>
<TD><FONT SIZE=2>HCotan(X) = (Exp(X) + Exp(-X)) / (Exp(X) - Exp(-X))</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Inverse Hyperbolic Sine</FONT></TD>
<TD><FONT SIZE=2>HArcsin(X) = Log(X + Sqr(X * X + 1))</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Inverse Hyperbolic Cosine</FONT></TD>
<TD><FONT SIZE=2>HArccos(X) = Log(X + Sqr(X * X - 1))</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Inverse Hyperbolic Tangent</FONT></TD>
<TD><FONT SIZE=2>HArctan(X) = Log((1 + X) / (1 - X)) / 2</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Inverse Hyperbolic Secant</FONT></TD>
<TD><FONT SIZE=2>HArcsec(X) = Log((Sqr(-X * X + 1) + 1) / X)</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Inverse Hyperbolic Cosecant</FONT></TD>
<TD><FONT SIZE=2>HArccosec(X) = Log((Sgn(X) * Sqr(X * X + 1) +1) / X)</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Inverse Hyperbolic Cotangent</FONT></TD>
<TD><FONT SIZE=2>HArccotan(X) = Log((X + 1) / (X - 1)) / 2</FONT></TD></TR>
<TR VALIGN=TOP>
<TD><FONT SIZE=2>Logarithm to base N</FONT></TD>
<TD><FONT SIZE=2>LogN(X) = Log(X) / Log(N)</FONT></TD></TR></TABLE></BLOCKQUOTE><p>

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