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How to use trigonometry to find angles or lengths

Before starting any calculations it makes sense for the new practitioner to use the handy "soh-cah-toa" rule which means that you use: - sine with the opposite and hypotenuse sides to the angle. -c...
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Answered by Bradley L. • Maths tutor
8404 Views

How do you solve an equation with brackets?

If you are given an equation with brackets, one way to solve it is to multiply out the brackets. Follow the example below: Solve the equation: 2(a + 5) = 16 1. Multiply out the brackets and remember that eve...
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Answered by Emma G. • Maths tutor
42591 Views

How do you intergrate ln(x)?

There's a nice trick here you can do, treat the equation as 1*ln(x) then intergrate by parts. Differentiating ln(x) gives 1/x, while intergrating 1 gives x So your left with a much easier intergration x ln(x...
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Answered by Oliver M. • Maths tutor
8750 Views

what is implicit differentiation and how is it achieved?

First off, an explicit definition needs to be understood. An explicit definition is the standard form in which many equations are found: y = f(x) (1) for example: y=x 2 +2 Here, all values of y can be explic...
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Answered by Jake S. • Maths tutor
6597 Views

Pythagoras' Theorem

Pythagoras was a Greek philosopher who discovered that in a right angled triangle (triangle with one angle 90 degrees) the hypotenuse squared , c 2 , was equal to the sum of the other sides squared, a and b....
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Answered by Katie C. • Maths tutor
6302 Views