The hyperbolic cosine is equivalent to ( (ex + e-x)/2), where e is Euler's number.
The syntax of the cosh()
method is:
Math.cosh(double value)
Here, cosh()
is a static method. Hence, we are accessing the method using the class name, Math
.
cosh() Parameters
The cosh()
method takes a single parameter.
- value - angle whose hyperbolic function is to be determined
Note: The value is generally used in radians.
cosh() Return Values
- returns the hyperbolic cosine of value
- returns NaN if the argument value is NaN
- returns 1.0 if the argument is 0
Note: If the argument is infinity, then the method returns positive infinity.
Example 1: Java Math cosh()
class Main {
public static void main(String[] args) {
// create a double variable
double value1 = 45.0;
double value2 = 60.0;
double value3 = 30.0;
double value4 = 0.0;
// convert into radians
value1 = Math.toRadians(value1);
value2 = Math.toRadians(value2);
value3 = Math.toRadians(value3);
value4 = Math.toRadians(value4);
// compute the hyperbolic cosine
System.out.println(Math.cosh(value1)); // 1.3246090892520057
System.out.println(Math.cosh(value2)); // 1.600286857702386
System.out.println(Math.cosh(value3)); // 1.1402383210764286
System.out.println(Math.cosh(value4)); // 1.0
}
}
In the above example, notice the expression,
Math.cosh(value1)
Here, we have directly used the class name to call the method. It is because cosh()
is a static method.
Note: We have used the Java Math.toRadians() method to convert all the values into radians.
Example 2: cosh() Returns NaN and Infinite
class Main {
public static void main(String[] args) {
// create a double variable
double value1 = Double.POSITIVE_INFINITY;
double value2 = Double.NEGATIVE_INFINITY;
double value3 = Math.sqrt(-5);
// convert into radians
value1 = Math.toRadians(value1);
value2 = Math.toRadians(value2);
value3 = Math.toRadians(value3);
// compute the hyperbolic cosine
System.out.println(Math.cosh(value1)); // Infinity
System.out.println(Math.cosh(value2)); // Infinity
System.out.println(Math.cosh(value3)); // NaN
}
}
In the above example,
- Double.POSITIVE_INFINITY - implements positive infinity in Java
- Double.NEGATIVE_INFINITY - implements negative infinity in Java
- Math.sqrt(-5) - square root of a negative number is not a number
We have used the Java Math.sqrt() method to calculate the square root of a number.
Note: The cosh()
method returns positive infinity for both negative and positive infinity arguments.