diff --git a/src/CultMath/float3.cs b/src/CultMath/float3.cs
index 037e883..70cfa02 100644
--- a/src/CultMath/float3.cs
+++ b/src/CultMath/float3.cs
@@ -5,6 +5,11 @@ public readonly record struct float3(float x, float y, float z)
     public static readonly float3 zero = new(0.0f, 0.0f, 0.0f);
     public static readonly float3 one = new(1.0f, 1.0f, 1.0f);
 
+    public float3(float2 xy, float z)
+        : this(xy.x, xy.y, z)
+    {
+    }
+
     public float2 xy => new(x, y);
     public float2 xz => new(x, z);
     public float2 yz => new(y, z);
diff --git a/src/CultMath/float4.cs b/src/CultMath/float4.cs
index d9ec098..c7bfb40 100644
--- a/src/CultMath/float4.cs
+++ b/src/CultMath/float4.cs
@@ -5,6 +5,16 @@ public readonly record struct float4(float x, float y, float z, float w)
     public static readonly float4 zero = new(0.0f, 0.0f, 0.0f, 0.0f);
     public static readonly float4 one = new(1.0f, 1.0f, 1.0f, 1.0f);
 
+    public float4(float2 xy, float z, float w)
+        : this(xy.x, xy.y, z, w)
+    {
+    }
+
+    public float4(float3 xyz, float w)
+        : this(xyz.x, xyz.y, xyz.z, w)
+    {
+    }
+
     public float2 xy => new(x, y);
     public float3 xyz => new(x, y, z);
 
diff --git a/src/CultMath/math.cs b/src/CultMath/math.cs
index 6b0cf45..6d44f90 100644
--- a/src/CultMath/math.cs
+++ b/src/CultMath/math.cs
@@ -8,6 +8,14 @@ public static class math
 
     public static float radians(float degrees) => degrees * (PI / 180.0f);
     public static float degrees(float radians) => radians * (180.0f / PI);
+    public static float sin(float value) => MathF.Sin(value);
+    public static float cos(float value) => MathF.Cos(value);
+    public static float tan(float value) => MathF.Tan(value);
+    public static float asin(float value) => MathF.Asin(value);
+    public static float acos(float value) => MathF.Acos(value);
+    public static float atan(float value) => MathF.Atan(value);
+    public static float atan2(float y, float x) => MathF.Atan2(y, x);
+    public static float sqrt(float value) => MathF.Sqrt(value);
 
     public static float abs(float value) => MathF.Abs(value);
     public static float2 abs(float2 value) => new(abs(value.x), abs(value.y));
diff --git a/tests/CultMath.Tests/MathTests.cs b/tests/CultMath.Tests/MathTests.cs
index 80b0ed9..8576a77 100644
--- a/tests/CultMath.Tests/MathTests.cs
+++ b/tests/CultMath.Tests/MathTests.cs
@@ -20,6 +20,14 @@ public sealed class MathTests
         Assert.Equal(new float3(4.0f, 10.0f, 18.0f), value);
     }
 
+    [Fact]
+    public void VectorConstructorsAcceptLowerDimensionVectors()
+    {
+        Assert.Equal(new float3(1.0f, 2.0f, 3.0f), new float3(new float2(1.0f, 2.0f), 3.0f));
+        Assert.Equal(new float4(1.0f, 2.0f, 3.0f, 4.0f), new float4(new float2(1.0f, 2.0f), 3.0f, 4.0f));
+        Assert.Equal(new float4(1.0f, 2.0f, 3.0f, 4.0f), new float4(new float3(1.0f, 2.0f, 3.0f), 4.0f));
+    }
+
     [Fact]
     public void NormalizeProducesUnitLength()
     {
@@ -35,4 +43,13 @@ public sealed class MathTests
         Assert.Equal(0.5f, math.smoothstep(0.0f, 1.0f, 0.5f), precision: 5);
         Assert.Equal(1.0f, math.smoothstep(0.0f, 1.0f, 2.0f));
     }
+
+    [Fact]
+    public void TrigIntrinsicsUseRadians()
+    {
+        Assert.Equal(1.0f, math.sin(math.HALF_PI), precision: 5);
+        Assert.Equal(-1.0f, math.cos(math.PI), precision: 5);
+        Assert.Equal(1.0f, math.tan(math.PI * 0.25f), precision: 5);
+        Assert.Equal(math.HALF_PI, math.atan2(1.0f, 0.0f), precision: 5);
+    }
 }