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Surds are exact - they can’t be rewritten as a decimal or fraction without introducing a rounding error. If we’re using numbers in a calculation, keeping them as exact as possible until we round to the re...

We know that two vectors are perpendicular when their dot product is equal to 0. As you can see from the SQA Higher Maths formula sheet, the equation for the dot product is; A.B=a1b1+a2b2+a3b3.To...

Oggi ho incontrato una ragazza in un bar a Roma. Stavo andando per prendere un café ed lei si è sbatuta contro di me e per scusarsi mi ha preso un café. Abbiamo parlato e siamo diventati amiche. E poi era...

To solve this question we want to find the range of values that x can be to make the statement true. First we must treat it like a normal quadratic equation and move all ...

Note that |sin(x)| <= 1 for all real x, so our solution must be complex if one exists at all
Euler's formula gives that exp(ix) = cos(x) + isin(x), and hence exp(-ix) = cos(x) - isin(x) since cos ...