Yes, you can absolutely use your detangler or any other styling product.
Just be sure TONIK is the first thing on your hair and scalp after bathing before other products.
Also, keep in mind that because TONIK balances your hair's pH and seals the cuticle, making individual hairs less likely to stick to each other, it has some detangling capabilities on its own. So, you might not need a separate detangling product after all.