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Core 3: Find all the solutions of 2cos(2x) = 1-2sin(x) in the interval 0<x<360

2cos(2x) = 1-2sin(x) 2(1-2sin 2 (x)) = 1-2sin(x) -- by our trigonometric functions 2-4sin 2 (x) = 1-2sin(x) 4sin 2 (x)-2sin(x)-1=0 -- rearrange sin(x) = (2±(4-4(4)(-1)) 0.5 )/8 -- quadratic formula x = 54 &a...
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Answered by Chris B. • Maths tutor
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x^3 + 2x^2 - 9x - 18 = (x^2 - a^2)(x + b) where a,b are integers. Work out the three linear factors of x^3 + 2x^2 - 9x - 18. (Note: x^3 indicates x cubed and x^2 indicates x squared).

There are a few different ways to approach this problem. The most obvious is to attempt to factorise x 3 + 2x 2 - 9x - 18. However it is very difficult to approach the problem like this. fortunately the ques...
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Jo has the following 9 coins in her purse: 10p, 2p, 2p, 50p, 10p, 1p, 20p, 2p, 2p. Work out the median, mean, mode and range.

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 work out the mean we must ...
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Answered by Chris B. • Maths tutor
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Briefly describe the use of Law reports and their importance.

The importance of Law reports within the English Judicial System stem from a variety of interlinking factors, primarily that a core principle of the Legal System is that “the Law is for all” and thus should ...
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Answered by Lewis S. • Law tutor
19697 Views

How would I differentiate something with the product rule?

Okay so, first of all the product rule in itself is fairly simple. Take the product of a function &quot;u&quot; and a function &quot;v&quot; to be a compound function. You can write this as &quot;uv&quot;. T...
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Answered by Shivam D. • Maths tutor
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