diff --git a/lib/msun/src/e_acosf.c b/lib/msun/src/e_acosf.c
index 42ba126d1baa..ede552e7055a 100644
--- a/lib/msun/src/e_acosf.c
+++ b/lib/msun/src/e_acosf.c
@@ -1,74 +1,80 @@
 /* e_acosf.c -- float version of e_acos.c.
  * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
  */
 
 /*
  * ====================================================
  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
  *
  * Developed at SunPro, a Sun Microsystems, Inc. business.
  * Permission to use, copy, modify, and distribute this
  * software is freely granted, provided that this notice
  * is preserved.
  * ====================================================
  */
 
 #include "math.h"
 #include "math_private.h"
 
 static const float
 one =  1.0000000000e+00, /* 0x3F800000 */
 pi =  3.1415925026e+00, /* 0x40490fda */
 pio2_hi =  1.5707962513e+00; /* 0x3fc90fda */
 static volatile float
 pio2_lo =  7.5497894159e-08; /* 0x33a22168 */
+
+/*
+ * The coefficients for the rational approximation were generated over
+ *  0x1p-12f <= x <= 0.5f.  The maximum error satisfies log2(e) < -30.084.
+ */
 static const float
-pS0 =  1.6666586697e-01,
-pS1 = -4.2743422091e-02,
-pS2 = -8.6563630030e-03,
-qS1 = -7.0662963390e-01;
+pS0 =  1.66666672e-01f, /* 0x3e2aaaab */
+pS1 = -1.19510300e-01f, /* 0xbdf4c1d1 */
+pS2 =  5.47002675e-03f, /* 0x3bb33de9 */
+qS1 = -1.16706085e+00f, /* 0xbf956240 */
+qS2 =  2.90115148e-01f; /* 0x3e9489f9 */
 
 float
 acosf(float x)
 {
 	float z,p,q,r,w,s,c,df;
 	int32_t hx,ix;
 	GET_FLOAT_WORD(hx,x);
 	ix = hx&0x7fffffff;
 	if(ix>=0x3f800000) {		/* |x| >= 1 */
 	    if(ix==0x3f800000) {	/* |x| == 1 */
 		if(hx>0) return 0.0;	/* acos(1) = 0 */
 		else return pi+(float)2.0*pio2_lo;	/* acos(-1)= pi */
 	    }
 	    return (x-x)/(x-x);		/* acos(|x|>1) is NaN */
 	}
 	if(ix<0x3f000000) {	/* |x| < 0.5 */
 	    if(ix<=0x32800000) return pio2_hi+pio2_lo;/*if|x|<2**-26*/
 	    z = x*x;
 	    p = z*(pS0+z*(pS1+z*pS2));
-	    q = one+z*qS1;
+	    q = one+z*(qS1+z*qS2);
 	    r = p/q;
 	    return pio2_hi - (x - (pio2_lo-x*r));
 	} else  if (hx<0) {		/* x < -0.5 */
 	    z = (one+x)*(float)0.5;
 	    p = z*(pS0+z*(pS1+z*pS2));
-	    q = one+z*qS1;
+	    q = one+z*(qS1+z*qS2);
 	    s = sqrtf(z);
 	    r = p/q;
 	    w = r*s-pio2_lo;
 	    return pi - (float)2.0*(s+w);
 	} else {			/* x > 0.5 */
 	    int32_t idf;
 	    z = (one-x)*(float)0.5;
 	    s = sqrtf(z);
 	    df = s;
 	    GET_FLOAT_WORD(idf,df);
 	    SET_FLOAT_WORD(df,idf&0xfffff000);
 	    c  = (z-df*df)/(s+df);
 	    p = z*(pS0+z*(pS1+z*pS2));
-	    q = one+z*qS1;
+	    q = one+z*(qS1+z*qS2);
 	    r = p/q;
 	    w = r*s+c;
 	    return (float)2.0*(df+w);
 	}
 }
diff --git a/lib/msun/src/e_asinf.c b/lib/msun/src/e_asinf.c
index a2ee1a166f03..8d1aca27df83 100644
--- a/lib/msun/src/e_asinf.c
+++ b/lib/msun/src/e_asinf.c
@@ -1,62 +1,68 @@
 /* e_asinf.c -- float version of e_asin.c.
  * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
  */
 
 /*
  * ====================================================
  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
  *
  * Developed at SunPro, a Sun Microsystems, Inc. business.
  * Permission to use, copy, modify, and distribute this
  * software is freely granted, provided that this notice
  * is preserved.
  * ====================================================
  */
 
 #include "math.h"
 #include "math_private.h"
 
 static const float
 one =  1.0000000000e+00, /* 0x3F800000 */
-huge =  1.000e+30,
-	/* coefficient for R(x^2) */
-pS0 =  1.6666586697e-01,
-pS1 = -4.2743422091e-02,
-pS2 = -8.6563630030e-03,
-qS1 = -7.0662963390e-01;
+huge =  1.000e+30;
+
+/*
+ * The coefficients for the rational approximation were generated over
+ *  0x1p-12f <= x <= 0.5f.  The maximum error satisfies log2(e) < -30.084.
+ */
+static const float
+pS0 =  1.66666672e-01f, /* 0x3e2aaaab */
+pS1 = -1.19510300e-01f, /* 0xbdf4c1d1 */
+pS2 =  5.47002675e-03f, /* 0x3bb33de9 */
+qS1 = -1.16706085e+00f, /* 0xbf956240 */
+qS2 =  2.90115148e-01f; /* 0x3e9489f9 */
 
 static const double
 pio2 =  1.570796326794896558e+00;
 
 float
 asinf(float x)
 {
 	double s;
 	float t,w,p,q;
 	int32_t hx,ix;
 	GET_FLOAT_WORD(hx,x);
 	ix = hx&0x7fffffff;
 	if(ix>=0x3f800000) {		/* |x| >= 1 */
 	    if(ix==0x3f800000)		/* |x| == 1 */
 		return x*pio2;		/* asin(+-1) = +-pi/2 with inexact */
 	    return (x-x)/(x-x);		/* asin(|x|>1) is NaN */
 	} else if (ix<0x3f000000) {	/* |x|<0.5 */
 	    if(ix<0x39800000) {		/* |x| < 2**-12 */
 		if(huge+x>one) return x;/* return x with inexact if x!=0*/
 	    }
 	    t = x*x;
 	    p = t*(pS0+t*(pS1+t*pS2));
-	    q = one+t*qS1;
+	    q = one+t*(qS1+t*qS2);
 	    w = p/q;
 	    return x+x*w;
 	}
 	/* 1> |x|>= 0.5 */
 	w = one-fabsf(x);
 	t = w*(float)0.5;
 	p = t*(pS0+t*(pS1+t*pS2));
-	q = one+t*qS1;
+	q = one+t*(qS1+t*qS2);
 	s = sqrt(t);
 	w = p/q;
 	t = pio2-2.0*(s+s*w);
 	if(hx>0) return t; else return -t;
 }