How to create a sine curve of positive part only between two integer values

Question

I have to generate a sine curve of the positive part only between two values. The idea is my variable say monthly-averaged RH, which has 12 data points in a year (i.e. time series) varies between 50 and 70 in a sinusoidal way. The first and the last data points end at 50.

Can anyone help how I can generate this curve/function for the curve to get values of all intermediate data points? I am trying to use numpy/scipy for this.

Best,

Debayan

Answer 1

This is basic trig.

import math
for i in range(12):
    print( i, 50 + 20 * math.sin( math.pi * i / 12 ) )

Output:

0 50.0
1 55.17638090205041
2 60.0
3 64.14213562373095
4 67.32050807568876
5 69.31851652578136
6 70.0
7 69.31851652578136
8 67.32050807568878
9 64.14213562373095
10 60.0
11 55.17638090205042