39 - Trigonometric Functions.py

import numpy as np
print('Numpy')
print()

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

# Radians = Pi/ Degree = n°

# Find sine value of PI/2:
x = np.sin(np.pi/2)
print(x)

# Find sine values for all of the values in arr:
arr = np.array([np.pi/2, np.pi/3, np.pi/4, np.pi/5])
x = np.sin(arr)
print(x)

# Convert Degrees Into Radians - 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.

# Convert all of the values in following array arr to radians:
arr = np.array([90, 180, 270, 360])
x = np.deg2rad(arr)
print(x)

# Convert all of the values in following array arr to degrees:
arr = np.array([np.pi/2, np.pi, 1.5*np.pi, 2*np.pi])
x = np.rad2deg(arr)
print(x)

# 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.

# Find the angle of 1.0:
x = np.arcsin(1.0)
print(x)

# Find the angle for all of the sine values in the array
arr = np.array([1, -1, 0.1])
x = np.arcsin(arr)
print(x)

# hypotenuse - Finding hypotenuse using pythagoras theorem in NumPy.
# NumPy provides the hypot() function that takes the base and
# perpendicular values and produces hypotenuse based on pythagoras theorem.

# Find the hypotenuse for 4 base and 3 perpendicular:
base = 3
perp = 4
x = np.hypot(base, perp)
print(x)