Sine Problem

In this 'mesh' of sine graphs, one of the graphs is the graph of the sine function. Find the equations of the other graphs to reproduce the pattern.
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
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Image
Sine Problem

 

In this image, one of the graphs is that of the sine function. Find the equations of the other graphs to reproduce the pattern.

 

Many thanks Aditya Sahu from Bristol Grammar School for sending us this puzzle.