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Method:We use the trigonometric identity (tanx)^2 +1 = (secx)^2 to understand that (tanx)^2 can be written as (secx)^2-1.We then use the formula booklet to identify that (secx)^2 i...
e.g. given x^2 +3x -8 = 0using the quadratic formulayou find x = (-b +- sqrt(b^2 -4ac))/2ayou then find one root using the plus instead of plus minus sign, and the other root using the minus instead of pl...
This exercise is interesting as it combines a variety of concepts fundamental to integration and maths in general. It also allows to introduce the student to the idea of recursion, very o...
X2n-1 = (xn+1)(xn-1) Therefore we can say 22n-1 = (2n+1)(2n-1) . As 2n is always even, a multiple of 3 is always either going t...
To find the centre and radius of the circle, you need to get the equation into the form (x - a)2+ (y - b)2= r2. You can do this by rearranging to bring the x and y parts t...
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