tan, tanf, tanl
Defined in header <math.h>
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float tanf( float arg ); |
(1) | (since C99) |
double tan( double arg ); |
(2) | |
long double tanl( long double arg ); |
(3) | (since C99) |
_Decimal32 tand32( _Decimal32 arg ); |
(4) | (since C23) |
_Decimal64 tand64( _Decimal64 arg ); |
(5) | (since C23) |
_Decimal128 tand128( _Decimal128 arg ); |
(6) | (since C23) |
Defined in header <tgmath.h>
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#define tan( arg ) |
(7) | (since C99) |
tanl
) is called. Otherwise, if the argument has integer type or the type double, (2) (tan
) is called. Otherwise, (1) (tanf
) is called. If the argument is complex, then the macro invokes the corresponding complex function (ctanf, ctan, ctanl).
The functions (4-6) are declared if and only if the implementation predefines |
(since C23) |
Parameters
arg | - | floating-point value representing angle in radians |
Return value
If no errors occur, the tangent of arg (tan(arg)) is returned.
The result may have little or no significance if the magnitude of arg is large. |
(until C99) |
If a domain error occurs, an implementation-defined value is returned (NaN where supported).
If a range error occurs due to underflow, the correct result (after rounding) is returned.
Error handling
Errors are reported as specified in math_errhandling
.
If the implementation supports IEEE floating-point arithmetic (IEC 60559):
- if the argument is ±0, it is returned unmodified;
- if the argument is ±∞, NaN is returned and FE_INVALID is raised;
- if the argument is NaN, NaN is returned.
Notes
The case where the argument is infinite is not specified to be a domain error in C, but it is defined as a domain error in POSIX.
The function has mathematical poles at π(1/2 + n); however no common floating-point representation is able to represent π/2
exactly, thus there is no value of the argument for which a pole error occurs.
Example
#include <errno.h> #include <fenv.h> #include <math.h> #include <stdio.h> #ifndef __GNUC__ #pragma STDC FENV_ACCESS ON #endif int main(void) { const double pi = acos(-1); // typical usage printf("tan(pi*1/4) = %+f\n", tan(pi * 1 / 4)); // 45 deg printf("tan(pi*3/4) = %+f\n", tan(pi * 3 / 4)); // 135 deg printf("tan(pi*5/4) = %+f\n", tan(pi * 5 / 4)); // -135 deg printf("tan(pi*7/4) = %+f\n", tan(pi * 7 / 4)); // -45 deg // special values printf("tan(+0) = %f\n", tan(0.0)); printf("tan(-0) = %f\n", tan(-0.0)); // error handling feclearexcept(FE_ALL_EXCEPT); printf("tan(INFINITY) = %f\n", tan(INFINITY)); if (fetestexcept(FE_INVALID)) puts(" FE_INVALID raised"); }
Possible output:
tan(pi*1/4) = +1.000000 tan(pi*3/4) = -1.000000 tan(pi*5/4) = +1.000000 tan(pi*7/4) = -1.000000 tan(+0) = 0.000000 tan(-0) = -0.000000 tan(INFINITY) = -nan FE_INVALID raised
References
- C23 standard (ISO/IEC 9899:2024):
- 7.12.4.7 The tan functions (p: TBD)
- 7.25 Type-generic math <tgmath.h> (p: TBD)
- F.10.1.7 The tan functions (p: TBD)
- C17 standard (ISO/IEC 9899:2018):
- 7.12.4.7 The tan functions (p: 175)
- 7.25 Type-generic math <tgmath.h> (p: 272-273)
- F.10.1.7 The tan functions (p: 378)
- C11 standard (ISO/IEC 9899:2011):
- 7.12.4.7 The tan functions (p: 240)
- 7.25 Type-generic math <tgmath.h> (p: 373-375)
- F.10.1.7 The tan functions (p: 519)
- C99 standard (ISO/IEC 9899:1999):
- 7.12.4.7 The tan functions (p: 220)
- 7.22 Type-generic math <tgmath.h> (p: 335-337)
- F.9.1.7 The tan functions (p: 457)
- C89/C90 standard (ISO/IEC 9899:1990):
- 4.5.2.7 The tan function
See also
(C99)(C99) |
computes sine (sin(x)) (function) |
(C99)(C99) |
computes cosine (cos(x)) (function) |
(C99)(C99) |
computes arc tangent (arctan(x)) (function) |
(C99)(C99)(C99) |
computes the complex tangent (function) |
C++ documentation for tan
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