How to resolve the algorithm Trigonometric functions step by step in the PHP programming language

Published on 12 May 2024 09:40 PM
#Php

How to resolve the algorithm Trigonometric functions step by step in the PHP programming language

Table of Contents

Problem Statement

If your language has a library or built-in functions for trigonometry, show examples of: using the same angle in radians and degrees. For the non-inverse functions,   each radian/degree pair should use arguments that evaluate to the same angle   (that is, it's not necessary to use the same angle for all three regular functions as long as the two sine calls use the same angle). For the inverse functions,   use the same number and convert its answer to radians and degrees. If your language does not have trigonometric functions available or only has some available,   write functions to calculate the functions based on any   known approximation or identity.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Trigonometric functions step by step in the PHP programming language

The provided PHP code demonstrates various mathematical operations involving radians and degrees using trigonometric functions: sin, cos, tan, asin, acos, and atan. Here's a detailed breakdown:

  1. Setting Radian and Degree Values:

    • $radians = M_PI / 4; sets the radian value to π/4 (approximately 0.7854).
    • $degrees = 45 * M_PI / 180; sets the degree value to 45 degrees, which is equivalent to π/4 radians.

  2. Calculating Trigonometric Values:

    • echo sin($radians) . " " . sin($degrees); calculates and prints the sine of both radian and degree values.
    • echo cos($radians) . " " . cos($degrees); calculates and prints the cosine of both radian and degree values.
    • echo tan($radians) . " " . tan($degrees); calculates and prints the tangent of both radian and degree values.

  3. Calculating Inverse Trigonometric Values:

    • echo asin(sin($radians)) . " " . asin(sin($radians)) * 180 / M_PI; calculates the arcsine of the sine of radian value and converts it to degrees. asin(sin($radians)) should return the same radian value, and when multiplied by 180/M_PI, it converts it to degrees.
    • echo acos(cos($radians)) . " " . acos(cos($radians)) * 180 / M_PI; calculates the arccosine of the cosine of a radian value and converts it to degrees.
    • echo atan(tan($radians)) . " " . atan(tan($radians)) * 180 / M_PI; calculates the arctangent of the tangent of radian value and converts it to degrees.

The output of this code would display the calculated trigonometric values for both radians and degrees, as well as the inverse trigonometric values in both radians and degrees.

Source code in the php programming language

$radians = M_PI / 4;
$degrees = 45 * M_PI / 180;
echo sin($radians) . " " . sin($degrees);
echo cos($radians) . " " . cos($degrees);
echo tan($radians) . " " . tan($degrees);
echo asin(sin($radians)) . " " . asin(sin($radians)) * 180 / M_PI;
echo acos(cos($radians)) . " " . acos(cos($radians)) * 180 / M_PI;
echo atan(tan($radians)) . " " . atan(tan($radians)) * 180 / M_PI;

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