The map section I scanned in shows Lochee West Station & Lochee Station, with the line then continuing up towards Downfield.
Before it reaches the Kingsway, another line branches off East to Fair Muir and Maryfield goods stations.
The aerial photo is from around the mid 60's and it too has the Lochee line visible on it.
The easiest way to spot it is - you see that small dark square clump of trees near the bottom right of the picture, well the thin grey track brushing passed it is the Lochee line, and in fact that is where Lochee West Station was located.
You can follow the line on the photo all the way along it's swooping curve through Lochee and up beside the Kingsway Ice Rink.
You'd probably be best to save the large versions onto your own computer and go back & forward between the 2 to match them up.
And just in case the obvious escapes you - the left side of the map corresponds to the bottom of the photo, so you'll need to twist the images around in your mind!