Writing Trigonometric Functions in C

Trigonometric functions are a set of mathematical functions that are used to describe the relationship between the angles and sides of triangles. In C programming, there are six trigonometric functions: sin, cos, tan, asin, acos, and atan.

Sin Function

The sin function calculates the sine of an angle. The syntax of the sin function is as follows:

“`c
double sin(double angle);
“`

The angle parameter is the angle in radians for which you want to calculate the sine.

Cos Function

The cos function calculates the cosine of an angle. The syntax of the cos function is as follows:

“`c
double cos(double angle);
“`

The angle parameter is the angle in radians for which you want to calculate the cosine.

Tan Function

The tan function calculates the tangent of an angle. The syntax of the tan function is as follows:

“`c
double tan(double angle);
“`

The angle parameter is the angle in radians for which you want to calculate the tangent.

Asin Function

The asin function calculates the arcsine of a number. The syntax of the asin function is as follows:

“`c
double asin(double value);
“`

The value parameter is the number for which you want to calculate the arcsine.

Acos Function

The acos function calculates the arccosine of a number. The syntax of the acos function is as follows:

“`c
double acos(double value);
“`

The value parameter is the number for which you want to calculate the arccosine.

Atan Function

The atan function calculates the arctangent of a number. The syntax of the atan function is as follows:

“`c
double atan(double value);
“`

The value parameter is the number for which you want to calculate the arctangent.

Example

Here is an example of how to use the trigonometric functions in C:

“`c
#include
#include

int main() {
double angle = 45 * M_PI / 180; // Convert degrees to radians

printf(“sin(45 degrees) = %f\n”, sin(angle));
printf(“cos(45 degrees) = %f\n”, cos(angle));
printf(“tan(45 degrees) = %f\n”, tan(angle));
printf(“asin(0.707) = %f\n”, asin(0.707));
printf(“acos(0.707) = %f\n”, acos(0.707));
printf(“atan(1) = %f\n”, atan(1));

return 0;
}
“`

Output:

“`
sin(45 degrees) = 0.707107
cos(45 degrees) = 0.707107
tan(45 degrees) = 1.000000
asin(0.707) = 0.785398
acos(0.707) = 0.785398
atan(1) = 0.785398
“`

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