diff --git a/include/secp256k1.h b/include/secp256k1.h
index b7ec6a22..2f3383e1 100644
--- a/include/secp256k1.h
+++ b/include/secp256k1.h
@@ -687,7 +687,7 @@ SECP256K1_API const secp256k1_nonce_function secp256k1_nonce_function_default;
  *  Returns: 1: signature created
  *           0: the nonce generation function failed, or the secret key was invalid.
  *  Args:    ctx:       pointer to a context object (not secp256k1_context_static).
- *  Out:     sig:       pointer to an array where the signature will be placed.
+ *  Out:     sig:       pointer to a signature object.
  *  In:      msghash32: the 32-byte message hash being signed.
  *           seckey:    pointer to a 32-byte secret key.
  *           noncefp:   pointer to a nonce generation function. If NULL,
diff --git a/include/secp256k1_recovery.h b/include/secp256k1_recovery.h
index 2430f993..45f20aba 100644
--- a/include/secp256k1_recovery.h
+++ b/include/secp256k1_recovery.h
@@ -73,7 +73,7 @@ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_serialize_compact(
  *  Returns: 1: signature created
  *           0: the nonce generation function failed, or the secret key was invalid.
  *  Args:    ctx:       pointer to a context object (not secp256k1_context_static).
- *  Out:     sig:       pointer to an array where the signature will be placed.
+ *  Out:     sig:       pointer to a signature object.
  *  In:      msghash32: the 32-byte message hash being signed.
  *           seckey:    pointer to a 32-byte secret key.
  *           noncefp:   pointer to a nonce generation function. If NULL,