Content-type: text/html Man page of sin

sin

Section: C Library Functions (3)
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NAME

sin, sind, cos, cosd, tan, tand, cot, cotd, asin, asind, acos, acosd, atan, atand, atan2, atand2, sincos, sincosd - Trigonometric and inverse trigonometric functions in radian and degree calculations.  

LIBRARY

Math Library (libm.a)  

SYNOPSIS

#include <math.h>

double sin (double x);
float sinf (float x);
double sind (double x);
float sindf (float x);
double cos (double x);
float cosf (float x);
double cosd (double x);
float cosdf (float x);
double tan (double x);
float tanf (float x);
double tand (double x);
float tandf (float x);
double cot (double x);
float cotf (float x);
double cotd (double x);
float cotdf (float x);
double asin (double x);
float asinf (float x);
double asind (double x);
float asindf (float x);
double acos (double x);
float acosf (float x);
double acosd (double x);
float acosdf (float x);
double atan (double x);
float atanf (float x);
double atand (double x);
float atandf (float x);
double atan2 (double y, double x);
float atan2f (float y, float x);
double atand2 (double y, double x);
float atand2f (float y, float x);
double_complex sincos (double x);
float_complex sincosf (float x);
double_complex sincosd (double x);
float_complex sincosdf (float x);  

STANDARDS

Interfaces documented on this reference page conform to industry standards as follows:

acos(): XPG4

asin(): XPG4

atan(): XPG4

atan2(): XPG4

cos(): XPG4

sin(): XPG4

tan(): XPG4

Refer to the standards(5) reference page for more information about industry standards and associated tags.  

DESCRIPTION

The sin() and sinf() functions compute the sine of x, measured in radians.

The sind() and sindf() functions compute the sine of x, measured in degrees.

The cos() and cosf() functions compute the cosine of x, measured in radians.

The cosd() and cosdf() functions compute the cosine of x, measured in degrees.

The tan() and tanf() functions compute the tangent of x, measured in radians.

The tand() and tandf() functions compute the tangent of x, measured in degrees.

The cot() and cotf() functions compute the cotangent of x, measured in radians.

The cotd() and cotdf() functions compute the cotangent of x, measured in degrees.

The asin() and asinf() functions compute the principal value of the arc sine of x in the interval [-pi/2,pi/2] radians. The value of x must be in the domain [-1,1].

The asind() and asindf() functions compute the principal value of the arc sine of x in the interval [-90,90] degrees. The value of x must be in the domain [-1,1].

The acos() and acosf() functions compute the principal value of the arc cosine of x in the interval [0,pi] radians. The value of x must be in the domain [-1,1].

The acosd() and acosdf() functions compute the principal value of the arc cosine of x in the interval [0,180] degrees. The value of x must be in the domain [-1,1].

The atan() and atanf() functions compute the principal value of the arc tangent of x in the interval [-pi/2,pi/2] radians.

The atand() and atandf() functions compute the principal value of the arc tangent of x in the interval [-90,90] degrees.

The atan2() and atan2f() functions compute the principal value of the arc tangent of y/x, in the interval [-pi,pi] radians. The sign of atan2() and atan2f() is determined by the sign of y. The value of atan2(y,x) is computed as follows where f is the number of fraction bits associated with the data type.

Value of Input ArgumentsAngle Returned

x = 0 or y/x > 2**(f+1)pi/2 * (sign y)
x > 0 and y/x <= 2**(f+1)atan(y/x)
x < 0 and y/x <= 2**(f+1)pi * (sign y) + atan(y/x)

The atand2() and atand2f() functions compute the principal value of the arc tangent of y/x in the interval [-180,180] degrees. The sign of atand2() and atand2f() is determined by the sign of y.

The sincos() and sincosf() functions compute the sine and cosine of x, measured in radians.

The sincosd() and sincosdf() functions compute the sine and cosine of x, measured in degrees.

Double_complex and float_complex data types can be used only by languages that support them.

The following table describes function behavior in response to exceptional arguments:


FunctionExceptional ArgumentRoutine Behavior

sin(), sinf()|x| = infinityInvalid argument
sind(), sindf()|x| = infinityInvalid argument
sind(), sindf()|x| < (180/pi) * min_floatUnderflow
cos(), cosf()|x| = infinityInvalid argument
cosd(), cosdf()|x| = infinityInvalid argument
tan(), tanf()|x| = infinityInvalid argument
tand(), tandf()|x| = infinityInvalid argument
tand(), tandf()|x| < (180/pi) * min_floatUnderflow
tand(), tandf()x = (2n+1) * 90Overflow
cot(), cotf()x = 0Overflow
cotd(), cotdf()|x| = multiples of 180 degreesOverflow
asin(), asinf()|x| > 1Invalid argument
asind(), asindf()|x| > 1Invalid argument
acos(), acosf()|x| > 1Invalid argument
acosd(), acosdf()|x| > 1Invalid argument
atan2(), atan2f()x = y = 0Invalid argument
atan2(), atan2f()|x| = |y| = infinityInvalid argument
atand2(), atand2f()x = y = 0Invalid argument
atand2(), atand2f()|x| = |y| = infinityInvalid argument
sincos(), sincosf()|x| = infinityInvalid argument
sincosd(), sincosdf()|x| = infinityInvalid argument

The following table lists boundary values used by these functions:

ValueDataHexadecimal ValueDecimal Value
NameType

(180/pi)S_FLOAT000000398.028849e-44
  * min_float
T_FLOAT00000000000000392.830787630910868e-322

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Index

NAME
LIBRARY
SYNOPSIS
STANDARDS
DESCRIPTION

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Time: 02:41:28 GMT, October 02, 2010