# NumPy Trigonometric Functions

## Trigonometric Functions

NumPy provides the ufuncs `sin()`, `cos()` and `tan()` that take values in radians and produce the corresponding sin, cos and tan values.

### Example

Find sine value of PI/2:

import numpy as np

x = np.sin(np.pi/2)

print(x)
Try it Yourself »

### Example

Find sine values for all of the values in arr:

import numpy as np

arr = np.array([np.pi/2, np.pi/3, np.pi/4, np.pi/5])

x = np.sin(arr)

print(x)
Try it Yourself »

By default all of the trigonometric functions take radians as parameters but we can convert radians to degrees and vice versa as well in NumPy.

Note: radians values are pi/180 * degree_values.

### Example

Convert all of the values in following array arr to radians:

import numpy as np

arr = np.array([90, 180, 270, 360])

print(x)
Try it Yourself »

### Example

Convert all of the values in following array arr to degrees:

import numpy as np

arr = np.array([np.pi/2, np.pi, 1.5*np.pi, 2*np.pi])

print(x)
Try it Yourself »

## Finding Angles

Finding angles from values of sine, cos, tan. E.g. sin, cos and tan inverse (arcsin, arccos, arctan).

NumPy provides ufuncs `arcsin()`, `arccos()` and `arctan()` that produce radian values for corresponding sin, cos and tan values given.

### Example

Find the angle of 1.0:

import numpy as np

x = np.arcsin(1.0)

print(x)
Try it Yourself »

## Angles of Each Value in Arrays

### Example

Find the angle for all of the sine values in the array

import numpy as np

arr = np.array([1, -1, 0.1])

x = np.arcsin(arr)

print(x)
Try it Yourself »

## Hypotenues

Finding hypotenues using pythagoras theorem in NumPy.

NumPy provides the `hypot()` function that takes the base and perpendicular values and produces hypotenues based on pythagoras theorem.

### Example

Find the hypotenues for 4 base and 3 perpendicular:

import numpy as np

base = 3
perp = 4

x = np.hypot(base, perp)

print(x)
Try it Yourself »

W3Schools is optimized for learning and training. Examples might be simplified to improve reading and learning. Tutorials, references, and examples are constantly reviewed to avoid errors, but we cannot warrant full correctness of all content. While using W3Schools, you agree to have read and accepted our terms of use, cookie and privacy policy.