update major trigonometric help files and regression tests

Improved help files for sin, cos, tan, cot, sec, csc.  In case
of tan, cot, sec, csc corrected help file was corrected to
indicate that complex arguments are allowed.  This was a help
file oversight from long ago when those trigonometric functions

Expanded the calc regression test suite test 34dd to test various
real and complex values for sin, cos, tan, cot, sec, csc.

help/cos

@@ -25,6 +25,9 @@ EXAMPLE
     ; print cos(pi/3, 1e-10), cos(pi/2, 1e-10), cos(pi, 1e-10)
     0.5 0 -1
 
+    ; print cos(1/2), cos(5/7), cos(42/7)
+    0.87758256189037271612 0.75556134670069659847 0.96017028665036602055
+
 LIMITS
     0 < eps < 1
 

help/cot

@@ -5,7 +5,7 @@ SYNOPSIS
     cot(x [,eps])
 
 TYPES
-    x		nonzero real
+    x		number (real or complex)
     eps		0 < real < 1, defaults to epsilon()
 
     return	real
@@ -18,12 +18,21 @@ EXAMPLE
     ; print cot(1, 1e-5), cot(1, 1e-10), cot(1, 1e-15), cot(1, 1e-20)
     0.64209 0.6420926159 0.642092615934331 0.64209261593433070301
 
+    ; print cot(2 + 3i, 1e-5), cot(2 + 3i, 1e-10)
+    ~-0.00373977357605613583-~0.99675796378381737782i ~-0.00373971037383300017-~0.99675779657435500069i
+
+    ; pi = pi(1e-20)
+    ; print cot(pi/12, 1e-10), cot(pi/6, 1e-10), cot(pi/3, 1e-10), cot(pi/2, 1e-10)
+    3.7320508076 1.7320508076 0.5773502692 0
+
+    ; print cot(1/2), cot(5/7), cot(42/7)
+    1.83048772171245191927 1.15339160419695060142 -3.43635300418012783207
+
 LIMITS
     0 < eps < 1
 
 LINK LIBRARY
     NUMBER *qcot(NUMBER *x, NUMBER *eps)
-    COMPLEX *c_acot(COMPLEX *c, NUMBER *eps);
 
 SEE ALSO
     sin, cos, tan, sec, csc

help/csc

@@ -5,7 +5,7 @@ SYNOPSIS
     csc(x [,eps])
 
 TYPES
-    x		real
+    x		number (real or complex)
     eps		0 < real < 1, defaults to epsilon()
 
     return	real
@@ -18,6 +18,16 @@ EXAMPLE
     ; print csc(1, 1e-5), csc(1, 1e-10), csc(1, 1e-15), csc(1, 1e-20)
     1.1884 1.1883951058 1.188395105778121 1.18839510577812121626
 
+    ; print csc(2 + 3i, 1e-5), csc(2 + 3i, 1e-10)
+    ~0.09047318155450436310+~0.04120099965201690801i ~0.09047320975303232503+~0.04120098628887626238i
+
+    ; pi = pi(1e-20)
+    ; print csc(pi/6, 1e-10), csc(pi/3, 1e-10), csc(4*pi/3, 1e-10)
+    2 1.1547005384 -1.1547005384
+
+    ; print csc(1/2), csc(5/7), csc(42/7)
+    2.08582964293348818577 1.52653601091884339347 -3.57889954725440563736
+
 LIMITS
     0 < eps < 1
 

help/sec

@@ -5,7 +5,7 @@ SYNOPSIS
     sec(x [,eps])
 
 TYPES
-    x		real
+    x		number (real or complex)
     eps		0 < real < 1, defaults to epsilon()
 
     return	real
@@ -18,8 +18,17 @@ EXAMPLE
     ; print sec(1, 1e-5), sec(1, 1e-10), sec(1, 1e-15), sec(1, 1e-20)
     1.85082 1.8508157177 1.850815717680926 1.85081571768092561791
 
+    ; print sec(2 + 3i, 1e-5), sec(2 + 3i, 1e-10)
+    ~-0.04167497639869547021+~0.09061109101765280898i ~-0.04167496441100888150+~0.09061113719571288336i
+
+    ; pi = pi(1e-20)
+    ; print 1e-10), sec(pi/6, 1e-10), sec(pi/3, 1e-10), sec(pi, 1e-10)
+    1.1547005384 2 -1
+
+    ; print sec(1/2), sec(5/7), sec(42/7)
+    1.13949392732454912231 1.3235192673191814545 1.04148192659510767648
+
 LIMITS
-    unlike sin and cos, x must be real
     0 < eps < 1
 
 LINK LIBRARY

help/sin

@@ -25,6 +25,9 @@ EXAMPLE
     ; print sin(pi/6, 1e-10), sin(pi/2, 1e-10), sin(pi, 1e-10)
     0.5 1 0
 
+    ; print sin(1/2), sin(5/7), sin(42/7)
+    0.47942553860420300027 0.6550778971785185742 -0.27941549819892587281
+
 LIMITS
     0 < eps < 1
 

help/tan

@@ -5,7 +5,7 @@ SYNOPSIS
     tan(x [,eps])
 
 TYPES
-    x		real
+    x		number (real or complex)
     eps		0 < real < 1, defaults to epsilon()
 
     return	real
@@ -18,13 +18,21 @@ EXAMPLE
     ; print tan(1, 1e-5), tan(1, 1e-10), tan(1, 1e-15), tan(1, 1e-20)
     1.55741 1.5574077247 1.557407724654902 1.55740772465490223051
 
+    ; print tan(2 + 3i, 1e-5), tan(2 + 3i, 1e-10)
+    ~-0.00376408798745471014+~1.00323845857938817252i ~-0.00376402563894634508+~1.00323862734859967572i
+
+    ; pi = pi(1e-20)
+    ; print tan(0, 1e-10), tan(pi/6, 1e-10), tan(pi/3, 1e-10), tan(pi, 1e-10)
+    0 0.5773502692 1.7320508076 0
+
+    ; print tan(1/2), tan(5/7), tan(42/7)
+    0.54630248984379051326 0.8670082185107029875 -0.29100619138474915705
+
 LIMITS
-    unlike sin and cos, x must be real
     0 < eps < 1
 
 LINK LIBRARY
     NUMBER *qtan(NUMBER *x, NUMBER *eps)
-    COMPLEX *c_atan(COMPLEX *c, NUMBER *eps);
 
 SEE ALSO
     sin, cos, cot, sec, csc