Peel and grate the carrots, or dice them into small cubes. If using frozen peas, thaw them and drain thoroughly.
Heat the oil in a skillet over medium heat. Sauté the finely chopped onion and minced garlic for 2-3 minutes, until translucent.
Add the spices: cumin, coriander, turmeric, and salt. Stir to release their aromas, about 30-60 seconds.
Add the carrots and peas and sauté for another 4-5 minutes, until the vegetables are tender but still slightly firm. Then, let the mixture cool completely.
Cut the pastry sheets into long strips. Place a tablespoon of filling at one end of each strip, then fold into a triangle shape, sealing the edges tightly with water.
In a deep skillet or pot, heat the oil for frying. Test the oil with a small piece of pastry: if it rises immediately and bubbles, the temperature is right.
Fry the samosas until golden brown, about 2-3 minutes per side. Do not overcrowd the pan to ensure even cooking.
Remove the samosas to a paper towel-lined plate to drain excess oil. Serve warm, on their own or with your favorite dipping sauce.
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