# Remember to import math in order to use its functions
import math

# Demonstrating sin() and cos() on a value close to pi/4
a = 3.1415 / 4
print("sin of 3.1415 / 4 is:", math.sin(a))
print("cos of 3.1415 / 4 is::", math.cos(a))

# Now we do the same but with the constant math.pi from the math module
a = math.pi / 4
print("The value of pi/4 is:", a)
print("sin of math.pi/4 is:", math.sin(a))
print("cos of math.pi/4 is::", math.cos(a))

# Demonstrating degrees() and radians()
angle_in_radians = math.pi / 2  # 90 degrees in radians
angle_in_degrees = math.degrees(angle_in_radians)
print("90 degrees in radians is:", angle_in_radians, "radians")
print("Converted back to degrees:", angle_in_degrees, "degrees")

# Demonstrating sqrt()
num = 16
square_root = math.sqrt(num)
print("The square root of", num, "is:", square_root)

# Demonstrating exp() (exponential)
power = 3
exp_value = math.exp(power)  # e^3
print("The value of e^", power, "is:", exp_value)

# Demonstrating log()
num = 10
log_value = math.log(num)  # natural logarithm (log base e)
log10_value = math.log10(num)  # logarithm base 10
print("The natural log of", num, "is:", log_value)
print("The log base 10 of", num, "is:", log10_value)

# Demonstrating ceil() and floor()
num = 3.7
ceiling_value = math.ceil(num)
floor_value = math.floor(num)
print("The ceiling of", num, "is:", ceiling_value)
print("The floor of", num, "is:", floor_value)

# Demonstrating pow() (power)
base = 2
exponent = 3
power_result = math.pow(base, exponent) # This is the same as 2**3
print(base, "raised to the power of", exponent, "is:", power_result)