diff --git a/spring-data-mongodb/src/main/java/org/springframework/data/mongodb/core/aggregation/ArithmeticOperators.java b/spring-data-mongodb/src/main/java/org/springframework/data/mongodb/core/aggregation/ArithmeticOperators.java
index 8fe3d9120c..15301bc737 100644
--- a/spring-data-mongodb/src/main/java/org/springframework/data/mongodb/core/aggregation/ArithmeticOperators.java
+++ b/spring-data-mongodb/src/main/java/org/springframework/data/mongodb/core/aggregation/ArithmeticOperators.java
@@ -735,6 +735,24 @@ public Sinh sinh(AngularUnit unit) {
 			return usesFieldRef() ? Sinh.sinhOf(fieldReference, unit) : Sinh.sinhOf(expression, unit);
 		}
 
+		/**
+		 * Creates new {@link AggregationExpression} that calculates the inverse sine of a numeric value.
+		 *
+		 * @return new instance of {@link ASin}.
+		 */
+		public ASin asin() {
+			return usesFieldRef() ? ASin.asinOf(fieldReference) : ASin.asinOf(expression);
+		}
+		
+		/**
+		 * Creates new {@link AggregationExpression} that calculates the inverse hyperbolic sine of a numeric value.
+		 *
+		 * @return new instance of {@link ASinh}.
+		 */
+		public ASinh asinh() {
+			return usesFieldRef() ? ASinh.asinhOf(fieldReference) : ASinh.asinhOf(expression);
+		}
+		
 		/**
 		 * Creates new {@link AggregationExpression} that calculates the cosine of a numeric value given in
 		 * {@link AngularUnit#RADIANS radians}.
@@ -2272,6 +2290,104 @@ protected String getMongoMethod() {
 			return "$sinh";
 		}
 	}
+	
+	/**
+	 * An {@link AggregationExpression expression} that calculates the inverse sine of a value.
+	 *
+	 */
+	public static class ASin extends AbstractAggregationExpression {
+
+		private ASin(Object value) {
+			super(value);
+		}
+
+		/**
+		 * Creates a new {@link AggregationExpression} that calculates the inverse sine of a value.
+		 *
+		 * @param fieldReference the name of the {@link Field field} that resolves to a numeric value.
+		 * @return new instance of {@link ASin}.
+		 */
+		public static ASin asinOf(String fieldReference) {
+
+			Assert.notNull(fieldReference, "FieldReference must not be null!");
+			return new ASin(Fields.field(fieldReference));
+		}
+
+		/**
+		 * Creates a new {@link AggregationExpression} that calculates the inverse sine of a value.
+		 * <p />
+		 *
+		 * @param expression the {@link AggregationExpression expression} that resolves to a numeric value.
+		 * @return new instance of {@link ASin}.
+		 */
+		public static ASin asinOf(AggregationExpression expression) {
+			return new ASin(expression);
+		}
+
+		/**
+		 * Creates a new {@link AggregationExpression} that calculates the inverse sine of a value.
+		 *
+		 * @param value anything ({@link Field field}, {@link AggregationExpression expression}, ...) that resolves to a
+		 *          numeric value.
+		 * @return new instance of {@link ASin}.
+		 */
+		public static ASin asinOf(Number value) {
+			return new ASin(value);
+		}
+
+		@Override
+		protected String getMongoMethod() {
+			return "$asin";
+		}
+	}
+	
+	/**
+	 * An {@link AggregationExpression expression} that calculates the inverse hyperbolic sine of a value
+	 */
+	public static class ASinh extends AbstractAggregationExpression {
+
+		private ASinh(Object value) {
+			super(value);
+		}
+
+		/**
+		 * Creates a new {@link AggregationExpression} that calculates the inverse hyperbolic sine of a value.
+		 *
+		 * @param fieldReference the name of the {@link Field field} that resolves to a numeric value.
+		 * @return new instance of {@link ASinh}.
+		 */
+		public static ASinh asinhOf(String fieldReference) {
+			return new ASinh(Fields.field(fieldReference));
+		}
+
+		/**
+		 * Creates a new {@link AggregationExpression} that calculates the inverse hyperbolic sine of a value.
+		 * <p />
+		 * 
+		 * @param expression the {@link AggregationExpression expression} that resolves to a numeric value.
+		 * @return new instance of {@link ASinh}.
+		 */
+		public static ASinh asinhOf(AggregationExpression expression) {
+			return new ASinh(expression);
+		}
+
+		/**
+		 * Creates a new {@link AggregationExpression} that calculates the inverse hyperbolic sine of a value.
+		 *
+		 * @param value anything ({@link Field field}, {@link AggregationExpression expression}, ...) that resolves to a
+		 *          numeric value.
+		 * @return new instance of {@link ASinh}.
+		 */
+		public static ASinh asinhOf(Object value) {
+			return new ASinh(value);
+		}
+
+		@Override
+		protected String getMongoMethod() {
+			return "$asinh";
+		}
+	}
+
 
 	/**
 	 * An {@link AggregationExpression expression} that calculates the cosine of a value that is measured in radians.
diff --git a/spring-data-mongodb/src/main/java/org/springframework/data/mongodb/core/spel/MethodReferenceNode.java b/spring-data-mongodb/src/main/java/org/springframework/data/mongodb/core/spel/MethodReferenceNode.java
index 0fbfe51f09..1b4b74b1a3 100644
--- a/spring-data-mongodb/src/main/java/org/springframework/data/mongodb/core/spel/MethodReferenceNode.java
+++ b/spring-data-mongodb/src/main/java/org/springframework/data/mongodb/core/spel/MethodReferenceNode.java
@@ -95,6 +95,8 @@ public class MethodReferenceNode extends ExpressionNode {
 		map.put("integral", mapArgRef().forOperator("$integral").mappingParametersTo("input", "unit"));
 		map.put("sin", singleArgRef().forOperator("$sin"));
 		map.put("sinh", singleArgRef().forOperator("$sinh"));
+		map.put("asin", singleArgRef().forOperator("$asin"));
+		map.put("asinh", singleArgRef().forOperator("$asinh"));
 		map.put("cos", singleArgRef().forOperator("$cos"));
 		map.put("cosh", singleArgRef().forOperator("$cosh"));
 		map.put("tan", singleArgRef().forOperator("$tan"));
diff --git a/spring-data-mongodb/src/test/java/org/springframework/data/mongodb/core/aggregation/ArithmeticOperatorsUnitTests.java b/spring-data-mongodb/src/test/java/org/springframework/data/mongodb/core/aggregation/ArithmeticOperatorsUnitTests.java
index 02f76d5c10..5bf857d5f3 100644
--- a/spring-data-mongodb/src/test/java/org/springframework/data/mongodb/core/aggregation/ArithmeticOperatorsUnitTests.java
+++ b/spring-data-mongodb/src/test/java/org/springframework/data/mongodb/core/aggregation/ArithmeticOperatorsUnitTests.java
@@ -110,6 +110,20 @@ void rendersSinhWithValueInDegrees() {
 		assertThat(valueOf("angle").sinh(AngularUnit.DEGREES).toDocument(Aggregation.DEFAULT_CONTEXT))
 				.isEqualTo("{ $sinh : { $degreesToRadians : \"$angle\" } }");
 	}
+	
+	@Test // DATAMONGO - 3708
+	void rendersASin() {
+
+		assertThat(valueOf("field").asin().toDocument(Aggregation.DEFAULT_CONTEXT))
+		.isEqualTo("{ $asin : \"$field\" }");
+	}
+	
+	@Test // DATAMONGO - 3708
+	void rendersASinh() {
+
+		assertThat(valueOf("field").asinh().toDocument(Aggregation.DEFAULT_CONTEXT))
+		.isEqualTo("{ $asinh : \"$field\" }");
+	}
 
 	@Test // GH-3710
 	void rendersCos() {
diff --git a/spring-data-mongodb/src/test/java/org/springframework/data/mongodb/core/aggregation/SpelExpressionTransformerUnitTests.java b/spring-data-mongodb/src/test/java/org/springframework/data/mongodb/core/aggregation/SpelExpressionTransformerUnitTests.java
index e92ea38336..3c72d62eef 100644
--- a/spring-data-mongodb/src/test/java/org/springframework/data/mongodb/core/aggregation/SpelExpressionTransformerUnitTests.java
+++ b/spring-data-mongodb/src/test/java/org/springframework/data/mongodb/core/aggregation/SpelExpressionTransformerUnitTests.java
@@ -1078,6 +1078,16 @@ void shouldRenderSin() {
 	void shouldRenderSinh() {
 		assertThat(transform("sinh(angle)")).isEqualTo("{ \"$sinh\" : \"$angle\"}");
 	}
+	
+	@Test // DATAMONGO-3708
+	void shouldRenderASin() {
+		assertThat(transform("asin(number)")).isEqualTo("{ \"$asin\" : \"$number\"}");
+	}
+
+	@Test // DATAMONGO-3708
+	void shouldRenderASinh() {
+		assertThat(transform("asinh(number)")).isEqualTo("{ \"$asinh\" : \"$number\"}");
+	}
 
 	@Test // GH-3710
 	void shouldRenderCos() {