Tag: science & technology

Using base 10: log(1+1) + log(2+3) = log(2) + log(5) = log(2×5) = log(10) = 1. This uses the logarithm property log(a) + log(b) = log(ab). Since 2 × 5 = 10 and log_10(10) = 1, the statement is true.

ln(e^(-1)) = -1 and ln(e^2) = 2, so their sum is -1 + 2 = 1. The right side is e ≈ 2.718. Since 1 ≠ e, the statement is false. Option A is incorrect.

sin(0) = 0, so cos(sin 0) = cos(0) = 1. Options A, B, and D are incorrect values. This question tests understanding of trigonometric function composition and the values of sin and cos at 0 radians.

The quadratic formula x = (-b ± √(b²-4ac))/2a is correctly known as Shreedharacharya's formula, named after the ancient Indian mathematician who discovered it. Pythagoras is associated with the Pythagorean theorem, not quadratic equations. The other options are fictional names.

JavaScript is a case-sensitive programming language. This means that variables, functions, and other identifiers must be referenced with the exact same capitalization they were declared with. For example, 'myVariable' and 'MyVariable' are different identifiers.

The 'var' keyword is used to declare variables in JavaScript. While modern JavaScript also supports 'let' and 'const' for variable declarations, 'var' was the original keyword and remains in use for legacy compatibility.

JavaScript is the common name for the language, but the official specification maintained by ECMA International is called ECMAScript. The language is standardized under this name to ensure consistency across different implementations (browsers, Node.js, etc.).

Brendan Eich created JavaScript in 1995 while working at Netscape Communications Corporation. He developed the language in just 10 days, and it was originally named Mocha before being renamed to JavaScript.

HTML uses the tag to embed JavaScript code. Other tags like <javascript>, <java>, <insert>, or <language> are not valid HTML elements.

document.write() is a standard JavaScript method that writes content directly to the HTML document. The other options (document.print, document.display, document.out) are not standard JavaScript methods.