<｜begin▁of▁sentence｜>### Instruction:
Given a tree graph with 5 nodes and branching factor 2, can you use TaperedEdgeDrawer.draw_undirected_edge in igraph with Cairo to draw undirected edges with a tapered style and save the image to a file?
### Response:
from igraph import Graph, plot
from igraph.drawing.edge import TaperedEdgeDrawer
import cairo

g = Graph.Tree(5, 2)  # Create a sample tree graph

# Set up Cairo plotting surface
surface = cairo.ImageSurface(cairo.FORMAT_ARGB32, 400, 400)
context = cairo.Context(surface)

# Initialize the TaperedEdgeDrawer
tapered_edge_drawer = TaperedEdgeDrawer(context)

# Assign the drawer to our plot
plot_obj = plot(g, target=surface, edge_drawer=tapered_edge_drawer)

# Draw the undirected edges
for edge in g.es:
    start_pt = plot_obj.coords[edge.source]
    end_pt = plot_obj.coords[edge.target]
    tapered_edge_drawer.draw_undirected_edge(start_pt, end_pt, None)

# Save the drawn graph
target_path = 'tapered_edges_graph.png'
surface.write_to_png(target_path)

print(f'Graph image with tapered edges saved to {target_path}')
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