Trigonometric functions (sin, cos, tan) in NumPy - Mini Project: Build & Apply

Trigonometric functions (sin, cos, tan)

📖 Scenario: You are analyzing angles in degrees and want to find their sine, cosine, and tangent values using Python. This is useful in many fields like physics, engineering, and computer graphics.

🎯 Goal: Build a small program that converts a list of angles from degrees to radians, then calculates the sine, cosine, and tangent for each angle using numpy.

📋 What You'll Learn

Create a list of angles in degrees

Create a variable for converting degrees to radians

Use numpy to calculate sine, cosine, and tangent for each angle

Print the results clearly

💡 Why This Matters

🌍 Real World

Trigonometric functions are used in physics to analyze waves, in engineering for signal processing, and in computer graphics for rotations and animations.

💼 Career

Understanding how to calculate and use trigonometric functions is important for data scientists working with time series, spatial data, or any domain involving angles and periodic behavior.

1

Create a list of angles in degrees

Create a list called angles_degrees with these exact values: 0, 30, 45, 60, 90.

NumPy

# Create the list angles_degrees with the values 0, 30, 45, 60, 90
# Your code here

Need a hint?

Use square brackets [] to create a list and separate values with commas.

2

Create a variable to convert degrees to radians

Import numpy as np and create a variable called angles_radians that converts angles_degrees to radians using np.radians().

NumPy

angles_degrees = [0, 30, 45, 60, 90]
# Import numpy as np and convert angles_degrees to radians
# Your code here

Need a hint?

Use import numpy as np to import numpy. Then use np.radians() to convert degrees to radians.

3

Calculate sine, cosine, and tangent values

Using angles_radians, create three variables called sine_values, cosine_values, and tangent_values that store the sine, cosine, and tangent of each angle using np.sin(), np.cos(), and np.tan() respectively.

NumPy

import numpy as np

angles_degrees = [0, 30, 45, 60, 90]
angles_radians = np.radians(angles_degrees)
# Calculate sine_values, cosine_values, and tangent_values using numpy
# Your code here

Need a hint?

Use numpy functions np.sin(), np.cos(), and np.tan() on the radians array.

4

Print the sine, cosine, and tangent values

Print the variables sine_values, cosine_values, and tangent_values each on a separate line.

NumPy

import numpy as np

angles_degrees = [0, 30, 45, 60, 90]
angles_radians = np.radians(angles_degrees)
sine_values = np.sin(angles_radians)
cosine_values = np.cos(angles_radians)
tangent_values = np.tan(angles_radians)
# Print sine_values, cosine_values, and tangent_values
# Your code here

Need a hint?

Use three print() statements, one for each variable.