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This is an essay question that could come up in A Level based on the syllabus' I have looked at; there is not time or space to write out the full essay here, so I have gone for three key bullet points I w...

We already have an expression for y, so we can substitute this in:x²+(x+1)²=x²+(x+1)(x+1) = x²+x²+2x+1=2x²+2x+1 and hence 2x²+2...

First being by expanding the brackets of the formula on the left:  (cos(x) + sin(x))² = (cos(x) + sin(x))*(cos(x) + sin(x)) = cos²(x)+2cos(x)sin(x)+sin²(x).Now we must use...

tanx = sinx/cosxapply the quotient rule use the identity cos^x + sin^x = 1 to simplify

The subjunctive form is gradually becoming less common in French, however it is important to be able to recognise this mood in writing. Its formation is simple:take the third-person present plural form of...