| No Comments For this essay, I have chosen to discuss a recipe for classic French onion soup. This is an easy dish that requires only four ingredients – onions, butter, broth and cheese.Get the Complete Custom Written Paper Written by Real Humans Who have exceptionally Excelled in their Studies and understand what your professor wantsWe have writers who will write a complete custom paper […]

| No Comments The height of the steeple can be calculated by using trigonometry. Trigonometry is an ancient branch of mathematics which studies relationships between the sides and angles of triangles in two-dimensional space. In this case, we have a right angled triangle with Jack and Jill being on either side and the steeple at the vertex (point) where both their lines of sight intersect […]

| No Comments The correct answer is B, $872. This can be determined by using the formula for simple interest: P(1+rt), where P is the principal, r is the annual rate of interest, and t is the number of years. In this case, we are given that P = 800 and r = 0.06 (6% expressed as a decimal). We also need to convert 18 […]

| No Comments Given two cylinders with the same lateral surface area and radii in the ratio of 3:2, we can find the ratio of height of cylinder to that of second cylinder by using a few simple equations. First, we must determine the surface area for each cylinder. The formula for this is SA = 2πrh where r is radius and h is height.Get […]

| No Comments The Six-Day War of 1967 saw Israel emerge victorious against Egypt, Syria and Jordan. This conflict has been studied extensively by historians and political analysts in order to identify the causes and outcomes of this victory. In particular, the Israeli victory is attributed to a number of factors that combined to create a unique set of circumstances that tipped the scales in […]

| No Comments The difference between cos^-1(x) and 1/cosx is quite significant. The inverse of a function, or cos^-1(x), has an entirely different set of properties than its original form, 1/cosx. In mathematics, the inverse of a function is an expression that can be used to undo the effects of that particular function on another variable. A general rule for finding inverses is to switch […]

| No Comments Congruence is a mathematical term used to describe two figures or shapes that have the same size and shape. In order to demonstrate this, special marks are often used in geometry. The most common of these marks include the “equal sign” ( = ), an arrow pointing from one side to another with two dots above it (→), and double arrows with […]

| No Comments The difference between a trapezoid and a rhombus can be seen in their shapes. While both are quadrilaterals, they have some distinct differences. A trapezoid is defined as a four-sided figure with two pairs of parallel sides and two non-parallel sides that join at the top (also known as an oblique angle). The opposite angles of any given trapezoid must add up […]

| No Comments In order to find a double angle formula for sec(2x) in terms of only csc(x) and sec(x), we must first understand the basic trigonometric identities. We start by recognizing that sec (2x) can be written as 1/cos (2x) which, using two angle formulas, can also be expressed as 1/(cos x cos x – sin x sin x). This is then simplified into […]

| No Comments The given equation is as follows: $$ \frac{1}{1-\sin x} + \frac{1}{1+\sin x} = 2\sec^2x$$ In order to prove this equation, we will use several trigonometric identities. First, the double angle identity for sine can be used to replace $\sin x$ with $2\sin (x/2)\cos(x/2)$. Thus, the left side of the equation becomes $$ \frac{1}{ 1- 2\sin (x/2)\cos(x/2)} + \frac{1}{ 1+ 2\sin (x/2)\cos(x/2)}.$$Get the […]