Too much sun isn't good for plants and can also dry the soil out excessively. Which is why the grass is usually longer and greener under your trampoline.
I had the same effect behind my solar panels and used the space for sowing seed and growing young plants. The ducks would also use it as a safe place to hang out with their babies where they could keep an eye on them all.
This video explores some of the ways to utilise that shade to improve yields of crops like corn, tomatoes and grapes.