How to Make It
Preheat the oven to 500°. Slice half of the lemon crosswise as thinly as possible; discard any seeds. Squeeze 1 1/2 teaspoons of juice from the remaining lemon half.
In a 9-by-13-inch baking dish, toss the carrots with 3 tablespoons of the oil, the coriander and cumin seeds, the cayenne and lemon juice. Season with salt. Spread the carrots in an even layer and roast for about 7 minutes, stirring after 4, or until just tender.
Brush the chicken thighs with the remaining 1 tablespoon of oil and set them on the carrots. Season with salt and pepper and top with the lemon slices. Roast the chicken for about 15 minutes, or until the juices run clear.
Transfer the chicken to a serving platter. Toss the carrots with the cilantro, transfer to the platter and serve.