Introduction

The `Math` class in Java provides static methods for various mathematical operations, including arithmetic, trigonometry, logarithms, and more. It is part of the `java.lang` package and cannot be instantiated.

1. What is `Math`?
2. Common Methods
3. Examples of `Math` Methods
4. Conclusion

1. What is Math?

`Math` is a utility class that offers methods for mathematical functions, constants, and calculations.

2. Common Methods

• `abs(double a)`: Returns the absolute value of a number.
• `max(int a, int b)`: Returns the greater of two values.
• `min(int a, int b)`: Returns the smaller of two values.
• `pow(double a, double b)`: Returns the value of `a` raised to the power of `b`.
• `sqrt(double a)`: Returns the square root of a number.
• `cbrt(double a)`: Returns the cube root of a number.
• `ceil(double a)`: Returns the smallest integer greater than or equal to `a`.
• `floor(double a)`: Returns the largest integer less than or equal to `a`.
• `round(double a)`: Returns the closest long to the argument.
• `exp(double a)`: Returns `e` raised to the power of `a`.
• `log(double a)`: Returns the natural logarithm of a number.
• `log10(double a)`: Returns the base 10 logarithm of a number.
• `sin(double a)`, `cos(double a)`, `tan(double a)`: Trigonometric functions.
• `asin(double a)`, `acos(double a)`, `atan(double a)`: Inverse trigonometric functions.
• `sinh(double a)`, `cosh(double a)`, `tanh(double a)`: Hyperbolic functions.
• `random()`: Returns a double value greater than or equal to `0.0` and less than `1.0`.
• `toRadians(double angdeg)`: Converts an angle from degrees to radians.
• `toDegrees(double angrad)`: Converts an angle from radians to degrees.

3. Examples of Math Methods

Example 1: Absolute Value

``````public class MathAbsExample {
public static void main(String[] args) {
int a = -10;
System.out.println("Absolute value of " + a + " is: " + Math.abs(a));
}
}
``````

Output:

``````Absolute value of -10 is: 10
``````

Example 2: Maximum and Minimum

``````public class MathMaxMinExample {
public static void main(String[] args) {
int a = 5, b = 10;
System.out.println("Max of " + a + " and " + b + ": " + Math.max(a, b));
System.out.println("Min of " + a + " and " + b + ": " + Math.min(a, b));
}
}
``````

Output:

``````Max of 5 and 10: 10
Min of 5 and 10: 5
``````

Example 3: Power and Square Root

``````public class MathPowSqrtExample {
public static void main(String[] args) {
double base = 2.0, exponent = 3.0;
System.out.println(base + " raised to " + exponent + " is: " + Math.pow(base, exponent));
System.out.println("Square root of " + base + " is: " + Math.sqrt(base));
}
}
``````

Output:

``````2.0 raised to 3.0 is: 8.0
Square root of 2.0 is: 1.4142135623730951
``````

Example 4: Trigonometric Functions

``````public class MathTrigExample {
public static void main(String[] args) {
double angle = Math.PI / 2;
System.out.println("Sin of PI/2: " + Math.sin(angle));
System.out.println("Cos of PI/2: " + Math.cos(angle));
System.out.println("Tan of PI/2: " + Math.tan(angle));
}
}
``````

Output:

``````Sin of PI/2: 1.0
Cos of PI/2: 6.123233995736766E-17
Tan of PI/2: 1.633123935319537E16
``````

Example 5: Rounding Functions

``````public class MathRoundingExample {
public static void main(String[] args) {
double number = 2.7;
System.out.println("Ceil of " + number + ": " + Math.ceil(number));
System.out.println("Floor of " + number + ": " + Math.floor(number));
System.out.println("Round of " + number + ": " + Math.round(number));
}
}
``````

Output:

``````Ceil of 2.7: 3.0
Floor of 2.7: 2.0
Round of 2.7: 3
``````

Example 6: Random Number Generation

``````public class MathRandomExample {
public static void main(String[] args) {
double randomValue = Math.random();
System.out.println("Random value: " + randomValue);
}
}
``````

Output:

``````Random value: 0.42756136439384396
``````

4. Conclusion

The `Math` class in Java provides a wide range of methods for mathematical operations. It is a valuable utility for performing calculations, conversions, and more in Java programming.