Trigonometric functions (sin, cos, tan) in NumPy - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to calculate the sine of 0 radians using numpy.

NumPy

import numpy as np
result = np.[1](0)
print(result)

Drag options to blanks, or click blank then click option'

Acos

Barcsin

Ctan

Dsin

Attempts:

3 left

💡 Hint

Common Mistakes

Using 'cos' instead of 'sin' will calculate cosine, not sine.

Using 'tan' will calculate tangent, which is different.

Using 'arcsin' is the inverse sine function, not sine.

The sin function calculates the sine of an angle in radians. Here, np.sin(0) returns 0.

2fill in blank

medium

Complete the code to calculate the cosine of pi radians using numpy.

NumPy

import numpy as np
result = np.[1](np.pi)
print(result)

Drag options to blanks, or click blank then click option'

Asin

Btan

Ccos

Darccos

Attempts:

3 left

💡 Hint

Common Mistakes

Using 'sin' will calculate sine, which is 0 at pi radians.

Using 'tan' will calculate tangent, which is 0 at pi radians.

Using 'arccos' is the inverse cosine function, not cosine.

The cosine of pi radians is -1. Using np.cos(np.pi) calculates this value.

3fill in blank

hard

Fix the error in the code to calculate the tangent of 45 degrees using numpy. (Hint: numpy expects radians.)

NumPy

import numpy as np
angle_degrees = 45
angle_radians = angle_degrees [1] np.pi / 180
result = np.tan(angle_radians)
print(result)

Drag options to blanks, or click blank then click option'

A*

B/

C+

D-

Attempts:

3 left

💡 Hint

Common Mistakes

Using '*' instead of '/' changes the formula incorrectly.

Using '+' or '-' will cause syntax or logic errors.

To convert degrees to radians, multiply degrees by pi and divide by 180. The correct formula is angle_degrees * np.pi / 180, which is equivalent to angle_degrees / 180 * np.pi. The blank should be '/'.

4fill in blank

hard

Fill both blanks to create a dictionary that maps angles in degrees to their sine values using numpy.

NumPy

import numpy as np
angles = [0, 30, 45, 60, 90]
sine_values = {angle: np.sin(angle [1] np.pi / 180) for angle in [2]
print(sine_values)

Drag options to blanks, or click blank then click option'

A*

B+

Cangles

Drange(5)

Attempts:

3 left

💡 Hint

Common Mistakes

Using '+' instead of '*' in the conversion formula.

Using 'range(5)' instead of the actual list of angles.

To convert degrees to radians inside the dictionary comprehension, multiply the angle by pi and divide by 180. The list to iterate over is angles.

5fill in blank

hard

Fill both blanks to create a dictionary that maps angles in degrees to their cosine values, but only include angles where cosine is greater than 0.5.

NumPy

import numpy as np
angles = [0, 30, 45, 60, 90]
cosine_values = {angle: np.[1](angle * np.pi / 180) for angle in angles if np.cos(angle * np.pi / 180) [2] 0.5}
print(cosine_values)

Drag options to blanks, or click blank then click option'

Bcos

C>

Dsin

Attempts:

3 left

💡 Hint

Common Mistakes

Adding ':' after angle in the key (should be empty).

Using 'sin' instead of 'cos' for cosine calculation.

Using '<' instead of '>' in the condition.

The dictionary key is just angle, so no extra symbol is needed (empty string). The function to calculate cosine is cos. The condition filters angles where cosine is greater than 0.5, so the operator is >.