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The key to solving this equation is realizing that sin(2x) can be written in terms of sin(x) and cos(x) using a double-angle formula. (With trigonometric problems similar to this one, you...

In part (a) the majority obtained 403 and some wrote their answer as £4.03, there was the usual crop of arithmetic errors with 2 ×199 = 298 or 498 being quite common. In part (b) the sum formula was us...

first substitute all the values you know into the formula (use brackets to make your work clear)

4(4) + 2(3)

we know that 2 numbers next to eachother means multiply so expan...

There are a range of methods commonly used for differentation, but my favoured method is as follows:E.g. Differentiate 3x^21) Separate into three separate parts - the Coefficient (the number at the front,...

Although differentiation is often taught in an abstract way, it's applications are virtually limitless. It's primary purpose is to determine the gradient of a line at a given point on a curve. Unlike with...