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1. y = cos2θ . 2) cos2θ = 1 - 2sin²θ. 3) x = 2sinθ. 4) x² = 4sin²θ. 5) (1/2)x² = 2sin²θ. 6) y = 1 - (1/2)x².

I have experience teaching in my own country about the subject.

First, my approach is to ask student to count the squares on the area under a curve. This process is tedious, and only gives an estimation. Next, I show them the formula to do integration, and immediately...

Before we get to solving the equation, let’s first review the method completing the square.

Completing the square is simply to convert an equation into the form of (x±a )^2, so it is possible to so...

The examiner is not an alien from space! It is important that you are clear how you got from one line of working to the next however you do not need to do every little part as a separate line of working. ...