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Trigonometric functions: Difference between revisions
→{{header|C}}: Add bc.
m (→{{header|AWK}}: Typo in comment.) |
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PRINT arccos + " " + arccos * 180 / pi
PRINT ATN(TAN(radians)) + " " + ATN(TAN(radians)) * 180 / pi 'arctan</lang>
=={{header|bc}}==
{{trans|AWK}}
<lang bc>/* t(x) = tangent of x */
define t(x) {
return s(x) / c(x)
}
/* y(y) = arcsine of y, domain [-1, 1], range [-pi/2, pi/2] */
define y(y) {
/* Handle angles with no tangent. */
if (y == -1) return -2 * a(1) /* -pi/2 */
if (y == 1) return 2 * a(1) /* pi/2 */
/* Tangent of angle is y / x, where x^2 + y^2 = 1. */
return a(y / sqrt(1 - y * y))
}
/* x(x) = arccosine of x, domain [-1, 1], range [0, pi] */
define x(x) {
auto a
/* Handle angle with no tangent. */
if (x == 0) return 2 * a(1) /* pi/2 */
/* Tangent of angle is y / x, where x^2 + y^2 = 1. */
a = a(sqrt(1 - x * x) / x)
if (a < 0) {
return a + 4 * a(1) /* add pi */
} else {
return a
}
}
scale = 50
p = 4 * a(1) /* pi */
d = p / 180 /* one degree in radians */
"Using radians:
"
" sin(-pi / 6) = "; s(-p / 6)
" cos(3 * pi / 4) = "; c(3 * p / 4)
" tan(pi / 3) = "; t(p / 3)
" asin(-1 / 2) = "; y(-1 / 2)
" acos(-sqrt(2) / 2) = "; x(-sqrt(2) / 2)
" atan(sqrt(3)) = "; a(sqrt(3))
"Using degrees:
"
" sin(-30) = "; s(-30 * d)
" cos(135) = "; c(135 * d)
" tan(60) = "; t(60 * d)
" asin(-1 / 2) = "; y(-1 / 2) / d
" acos(-sqrt(2) / 2) = "; x(-sqrt(2) / 2) / d
" atan(sqrt(3)) = "; a(sqrt(3)) / d
quit</lang>
Output: <pre>Using radians:
sin(-pi / 6) = -.49999999999999999999999999999999999999999999999999
cos(3 * pi / 4) = -.70710678118654752440084436210484903928483593768845
tan(pi / 3) = 1.73205080756887729352744634150587236694280525381032
asin(-1 / 2) = -.52359877559829887307710723054658381403286156656251
acos(-sqrt(2) / 2) = 2.35619449019234492884698253745962716314787704953131
atan(sqrt(3)) = 1.04719755119659774615421446109316762806572313312503
Using degrees:
sin(-30) = -.49999999999999999999999999999999999999999999999981
cos(135) = -.70710678118654752440084436210484903928483593768778
tan(60) = 1.73205080756887729352744634150587236694280525380865
asin(-1 / 2) = -30.00000000000000000000000000000000000000000000001203
acos(-sqrt(2) / 2) = 135.00000000000000000000000000000000000000000000005500
atan(sqrt(3)) = 60.00000000000000000000000000000000000000000000002463</pre>
=={{header|C}}==
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