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2cos(2x) = 1-2sin(x)

2(1-2sin²(x)) = 1-2sin(x) -- by our trigonometric functions

2-4sin²(x) = 1-2sin(x)

4sin²(x)-2sin(x)-1=0 -- rearrange

sin(x...

To work out the median of a set of numbers we first place them in order:

1p, 2p, 2p, 2p, 2p, 10p, 10p, 20p, 50p

Then the median is the middle value in the list, in this case 2p.

To wo...

Okay so, first of all the product rule in itself is fairly simple. Take the product of a function "u" and a function "v" to be a compound function. You can write this as "uv"...

You would have to rewrite 25 as 5^2 hence 25^x = (5^2)^x = 5^(2*x).

Then 5^(2x) = 5^(4x+1) and therefore 2x = 4x + 1 hence 2x = -1 hence x = -1 / 2. 

4:3 Working: 960:720 (divide by 10) 96:72 (divide by 8 as 8 is common multiple of both 96 and 72 (should know this from times tables)) 12:9 (divide by 3) 4:3 simplifying slowly and in small steps r...