The square root of a number is a value that, when multiplied by itself, gives the original number. When we talk about the square root of x2, we are looking for a value that, when squared, results in x2. Mathematically, the square root of x2 can be expressed as: √(x2) = x However, this is … Read more
The expression sin x cos x can be rewritten in terms of sine by applying a well-known trigonometric identity. Specifically, we can utilize the double angle formula for sine, which states: sin(2x) = 2 sin x cos x From this identity, we can see that: sin x cos x = (1/2) sin(2x) This means that … Read more
To determine the radius and diameter of a circle, you need to understand the fundamental definitions of these terms: Radius: The radius of a circle is the distance from the center of the circle to any point on its circumference. It essentially represents half the distance across the circle. Diameter: The diameter of a circle … Read more
The SI unit of weight is the newton (N). Weight is the force exerted on an object due to gravity, and it is calculated by multiplying the mass of the object (measured in kilograms) by the acceleration due to gravity (approximately 9.81 m/s² on the surface of the Earth). In more detail, the relationship can … Read more
When you raise any non-zero number to the power of 0, the result is always 1. This is a fundamental rule in mathematics. Therefore, when we evaluate 8 to the power of 0, we can use this rule. The calculation can be expressed as: 80 = 1 This can be somewhat counterintuitive, as we might … Read more
The factorial of a number, denoted by that number followed by an exclamation mark (e.g., 9!), is the product of all positive integers up to that number. In simpler terms, it’s a way to find out how many different ways you can arrange a set of items. For the number 9, the factorial can be … Read more
To convert 33 1/3 percent into a fraction, we can follow these steps: Understand what percent means: Percent means ‘per hundred.’ Thus, 33 1/3 percent can be expressed mathematically as: 33 1/3 = 33.3333… Convert the mixed number: The mixed number 33 1/3 can be converted into an improper fraction. We multiply the whole number … Read more
The basic unit of volume in the metric system is the liter, abbreviated as ‘L’. It is widely used around the world for measuring liquid substances as well as some solid materials, especially in cooking and scientific contexts. To give you a better understanding, one liter is defined as the volume of a cube that … Read more