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Solve the equation sec^2(x) - 4tan(x)= -3 , 0 ≤x≤ 2π

To solve this problem, we have to look at some trig. identities that will help us simplify the problem.The formula booklet is always a great place to start! You can find that sec^2(x) = 1 + tan^2(x). Substit...
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Answered by Patrick H. • Maths tutor
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Show algebraically that (4n-3)^2 - (2n+5)^2 is always a multiple of n-4

First we expand the brackets by squaring each side(4n-3) 2 = (4n-3) (4n-3)= 16n 2 - 24n + 9(2n+5) 2 = (2n+5) (2n+5)= 4n 2 + 20n + 25Remember the expression is (4n-3) 2 - (2n+5) 2 so we subtract the expanded ...
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Answered by Ella B. • Maths tutor
3736 Views

Put the following in order of size, smallest first: 8/sqrt3, sqrt6*sqrt2, sqrt48-sqrt27

First part of the question is to recognise that these are surds and we will need to simplify them. Then it is asking to place the values from smallest to highest. In order to simplify the surds we have to fi...
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Answered by Sandeep S. • Maths tutor
4385 Views

solve the Simultaneous equations: y= x+6 and y=2x^23

2x 2 = x + 62x 2 - x - 6 = 0 [+-1 x-12]2x 2 - 4x + 3x - 6 =02x(x-2) 3(x-2) = 0(2x + 3)(x-2) = 0x =2 or -3/2 y = 2 + 6 y = 8 y = -3/2 + 6y = 9/2 (2,8)(-3/2, 9/2)
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Answered by Lehana D. • Maths tutor
3854 Views

How many book and reference should I put into my personal statement?

The main idea for your personal statement is to show that you are enthusiastic about your course and willing to commit. You can refer to as many books as you like but make sure that they all have a purpose. ...
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