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Chapter 3: Problem 15

The __________ library function returns the cosine of an angle.

Short Answer

Expert verified
Answer: The function that returns the cosine of an angle depends on the programming language being used. The libraries and functions for Python, C, and Java are: - In Python: the library is "math" and the function is "math.cos()". - In C: the library is "math.h" and the function is "cos()". - In Java: the library is "java.lang.Math" and the function is "Math.cos()". To use the function, first convert the angle from degrees to radians using either math.radians() in Python or Math.toRadians() in Java. In C, use the formula "(angle_in_degrees * M_PI) / 180". Then, call the cosine function with the angle in radians to get the cosine value.

Step by step solution

01

Understanding the cosine of an angle

The cosine of an angle in a right-angled triangle is the ratio of the adjacent side (the side that forms the angle with the hypotenuse) to the hypotenuse. The trigonometric function, cosine (cos), has a range of [-1, 1]. If the angle is in degrees, it needs to be converted to radians before using the function.
02

Identify the library and function

In various programming languages such as Python, C, and Java, there are built-in libraries that provide trigonometric functions, including the cosine function. This problem refers to the "__________" library (depending on the programming language you use): - In Python, the library is _math_ and the function is _math.cos()_. - In C, the library is _math.h_ and the function is _cos()_. - In Java, the library is _java.lang.Math_ and the function is _Math.cos()_.
03

Using the function with an angle

Make sure to convert the angle from degrees to radians before using the cosine function, as these functions usually take angles in radians. Here are some examples for converting angles to radians and calculating the cosine: - In Python: ``` import math angle_in_degrees = 45 angle_in_radians = math.radians(angle_in_degrees) cosine_value = math.cos(angle_in_radians) print(cosine_value) ``` - In C: ``` #include #include int main() { double angle_in_degrees = 45; double angle_in_radians = (angle_in_degrees * M_PI) / 180; double cosine_value = cos(angle_in_radians); printf("%lf", cosine_value); return 0; } ``` - In Java: ``` class CosineExample { public static void main(String[] args) { double angle_in_degrees = 45; double angle_in_radians = Math.toRadians(angle_in_degrees); double cosine_value = Math.cos(angle_in_radians); System.out.println(cosine_value); } } ``` In conclusion, the "__________" library function that returns the cosine of an angle is dependent on the programming language being used. Remember to always check and convert the angle to radians if it is in degrees format.

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Most popular questions from this chapter

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