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From our base right angled triangle (base and height of 1) and remembering SOH CAH TOA ( tangent = opposite/adjacent), we can deduce tan(45) = 1 / 1 = 1

The probability that a girl chosen at random studies french is 3/5. This means that out of 700 girls at the school, three fifths (3/5) girls study french. To find out how many girls study french we must f...

Factorisation is a skill learned through a lot of practise. For questions with a coefficient of x, I like to use the 'House Method'.Step 1 - multiply the coefficient of x² with the constant. =3...

This is a question about completing the square of a quadratic equation. This is used to find the minimum point on a parabolic graph. A) Step 1 - set up the '(x – a)²' term by dividing the coeff...

Firstly we can see that this equation can be simplified. They are all divisible by 3 so this means we can simplify it to x^2 + 2x + 1 =0 Now we need to find what times together equals 1 but when added tog...