diff --git a/ibis/backends/base/sql/registry/main.py b/ibis/backends/base/sql/registry/main.py
index 1d1e76b108c1..1aa753b4ede9 100644
--- a/ibis/backends/base/sql/registry/main.py
+++ b/ibis/backends/base/sql/registry/main.py
@@ -287,7 +287,9 @@ def count_star(translator, op):
     ops.Sin: unary("sin"),
     ops.Tan: unary("tan"),
     ops.Pi: fixed_arity("pi", 0),
-    ops.E: fixed_arity("exp(1)", 0),
+    ops.E: fixed_arity("e", 0),
+    ops.Degrees: lambda t, op: f"(180 * {t.translate(op.arg)} / {t.translate(ops.Pi())})",
+    ops.Radians: lambda t, op: f"({t.translate(ops.Pi())} * {t.translate(op.arg)} / 180)",
     # Unary aggregates
     ops.ApproxMedian: aggregate.reduction('appx_median'),
     ops.ApproxCountDistinct: aggregate.reduction('ndv'),
@@ -354,7 +356,6 @@ def count_star(translator, op):
     ops.DateTruncate: timestamp.truncate,
     ops.IntervalFromInteger: timestamp.interval_from_integer,
     # Other operations
-    ops.E: lambda *args: 'e()',
     ops.Literal: literal,
     ops.NullLiteral: null_literal,
     ops.Cast: cast,
diff --git a/ibis/backends/bigquery/registry.py b/ibis/backends/bigquery/registry.py
index e9ecd2ccd9b0..6c590beafa1f 100644
--- a/ibis/backends/bigquery/registry.py
+++ b/ibis/backends/bigquery/registry.py
@@ -603,8 +603,6 @@ def _interval_multiply(t, op):
     ops.Floor: compiles_floor,
     ops.Modulus: fixed_arity("MOD", 2),
     ops.Sign: unary("SIGN"),
-    ops.Degrees: lambda t, op: f"(180 * {t.translate(op.arg)} / ACOS(-1))",
-    ops.Radians: lambda t, op: f"(ACOS(-1) * {t.translate(op.arg)} / 180)",
     ops.BitwiseNot: lambda t, op: f"~ {t.translate(op.arg)}",
     ops.BitwiseXor: lambda t, op: f"{t.translate(op.left)} ^ {t.translate(op.right)}",
     ops.BitwiseOr: lambda t, op: f"{t.translate(op.left)} | {t.translate(op.right)}",
diff --git a/ibis/backends/tests/test_numeric.py b/ibis/backends/tests/test_numeric.py
index 43480a0ccfc1..1afabaef2927 100644
--- a/ibis/backends/tests/test_numeric.py
+++ b/ibis/backends/tests/test_numeric.py
@@ -733,13 +733,11 @@ def test_isnan_isinf(
             L(5.556).radians(),
             math.radians(5.556),
             id='radians',
-            marks=pytest.mark.notimpl(["impala"], raises=com.OperationNotDefinedError),
         ),
         param(
             L(5.556).degrees(),
             math.degrees(5.556),
             id='degrees',
-            marks=pytest.mark.notimpl(["impala"], raises=com.OperationNotDefinedError),
         ),
         param(L(11) % 3, 11 % 3, id='mod'),
     ],