Fortran Trigonometric Function: Law of Cosines and Inverse Calculation

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  • #1
Benzoate
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I want Fortran to regconize trigonometric functions.

The trigonometric equation I am trying to right in Fortran is the Law of cosines

COS(c)=d^2+a^2-b^2/(2*a*d)
However, I want Fortran to calculate the inverse of the above equation:

How would I write the following equation in Fortran?
c=COS^1-(d^2+a^2-b^2/(2*a*d))
 
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  • #2
You are looking for arccos - you will have to check documentation for the correct name of the function, as it differs between dialects.
 
  • #3
Hi Benzoate,

The inverse cosine function is given by:

acos()
 

What is the Law of Cosines?

The Law of Cosines is a trigonometric formula used to find the length of a side or measure of an angle in a triangle. It states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the two sides and the cosine of the included angle.

How is the Law of Cosines used in Fortran?

In Fortran, the Law of Cosines is used to calculate the length of a side or measure of an angle in a triangle. The FORTRAN function DLAFCN calculates the value of the cosine of an angle in both degrees and radians using the Law of Cosines formula.

What is the inverse calculation of the Law of Cosines?

The inverse calculation of the Law of Cosines is used to find the measure of an angle in a triangle when the lengths of all three sides are known. This is done by rearranging the formula to solve for the cosine of the angle, and then taking the inverse cosine (arccosine) to find the angle measure.

How accurate are Fortran's trigonometric functions?

Fortran's trigonometric functions, including the Law of Cosines and inverse calculation, are very accurate. They use double-precision floating-point arithmetic, which allows for a high level of precision in calculations. However, as with any computer program, there may be small rounding errors that can affect the final result.

Are there any limitations to using the Law of Cosines in Fortran?

The Law of Cosines can only be used for solving triangles that have all three sides known. It cannot be used for triangles with only two sides known or for triangles that are not right triangles. Additionally, the Law of Cosines may not be as efficient as other methods for solving triangles, such as the Law of Sines or the Pythagorean Theorem, depending on the specific triangle being solved.

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