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Chapter 3: Problem 20

The _______ library function returns the sine of an angle.

Short Answer

Expert verified
Answer: The library function that returns the sine of an angle is `sin()` in the math library. To use this function in Python, you first need to import the math library with `import math`. Then, use the `sin()` function to calculate the sine of an angle in radians by converting the angle from degrees to radians using the `radians()` function. Finally, print the result using the `print()` function.

Step by step solution

01

Identify the library function

The library function that returns the sine of an angle is `sin()` in the math library. To use this function, we first need to import the math library.
02

Import the math library

In order to use the sin function, we need to import the math library using the following line of code: ```python import math ```
03

Calculate sine of an angle

After importing the math library, we can use the `sin()` function to calculate the sine of an angle. The angle should be in radians. To convert degrees to radians, use the `radians()` function from the math library. Here's an example for calculating the sine of a 30-degree angle: ```python angle_degrees = 30 angle_radians = math.radians(angle_degrees) sine_value = math.sin(angle_radians) ```
04

Display the result

Finally, print the result using the `print()` function: ```python print("The sine of", angle_degrees, "degrees is", sine_value) ``` Now put all the steps together to perform the calculations and display the sine of a 30-degree angle in a complete Python script: ```python import math angle_degrees = 30 angle_radians = math.radians(angle_degrees) sine_value = math.sin(angle_radians) print("The sine of", angle_degrees, "degrees is", sine_value) ```

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