Preheat the oven to 425°F. In a small bowl, mix together all the spices and seasoning.
In a large mixing bowl, combine the broccoli, sweet potatoes, and olive oil, and toss to evenly coat the vegetables in oil. Add the seasoning mix, a bit at a time, and toss to coat. Keep going until you've used all the seasoning and the veggies are well and evenly coated.
Line two baking sheets with tin foil, and add the seasoned veggies to them, make sure to spread them out evenly. Place both baking sheets in the oven and roast the veggies for ~20 minutes, making sure to toss halfway through. The veggies are done when the broccoli is crisp and the sweet potatoes should be tender, try testing with a fork before pulling them out. Serve immediately.