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To answer, you need to know and be able to use your trigonometric formulae including the double angle formulae on data sheet.

1: cos(3x)=cos(2x+x) = cos(2x)cos(x) - sin(2x)sin(x)        split the 3...

By raising the temperature of the reaction mixture, the particles have more (kinetic) energy and so move around at a greater rate. This means there are more frequent collisions, due to the increased speed...

Multiply out the denominator, take care to multiply both sides of the equation:

(2x+3)(2x+1) - (2x-8)(x-4) = (2x+1)(x-4)

Expand the brackets, pay attention the the signs when multiplying, ex...

There are several different ways substances can be transported:

1) simple diffusion, i.e. substances that tend to be lipid soluble/ non-polar and can pass easily across the phospholipid bilyar of c...

We know the total number of sweets is n, and that 6 are red. When Jen takes the first sweet, the probability of it being red is [number of red sweets] / [how many there are] = 6/n . For the second sweet, ...