Trigonometric functions: Difference between revisions

=={{header|jq}}==

jq includes the standard C-library trigonometric functions (sin, cos, tan, asin, acos, atan), but they are provided as filters as illustrated in the definition of <tt>radians</tt> below.

The trigonometric filters only accept radians, so conversion is necessary when dealing with degrees. The constant <tt>π</tt> can be defined as also shown in the following definition of <tt>radians</tt>:<lang jq>

# degrees to radians

def radians:

(-1|acos) as $pi | (. * $pi / 180);

def task:

(-1|acos) as $pi

| ($pi / 180) as $degrees

| "Using radians:",

" sin(-pi / 6) = \( (-$pi / 6) | sin )",

" cos(3 * pi / 4) = \( (3 * $pi / 4) | cos)",

" tan(pi / 3) = \( ($pi / 3) | tan)",

" asin(-1 / 2) = \((-1 / 2) | asin)",

" acos(-sqrt(2)/2) = \((-(2|sqrt)/2) | acos )",

" atan(sqrt(3)) = \( 3 | sqrt | atan )",

"Using degrees:",

" sin(-30) = \((-30 * $degrees) | sin)",

" cos(135) = \((135 * $degrees) | cos)",

" tan(60) = \(( 60 * $degrees) | tan)",

" asin(-1 / 2) = \( (-1 / 2) | asin / $degrees)",

" acos(-sqrt(2)/2) = \( (-(2|sqrt) / 2) | acos / $degrees)",

" atan(sqrt(3)) = \( (3 | sqrt) | atan / $degrees)"

;

task

</lang>

{{out}}

<lang sh>Using radians:

sin(-pi / 6) = -0.49999999999999994

cos(3 * pi / 4) = -0.7071067811865475

tan(pi / 3) = 1.7320508075688767

asin(-1 / 2) = -0.5235987755982988

acos(-sqrt(2)/2) = 2.356194490192345

atan(sqrt(3)) = 1.0471975511965979

Using degrees:

sin(-30) = -0.49999999999999994

cos(135) = -0.7071067811865475

tan(60) = 1.7320508075688767

asin(-1 / 2) = -29.999999999999996

acos(-sqrt(2)/2) = 135

atan(sqrt(3)) = 60.00000000000001</lang>