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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
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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
4371 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
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Differentiate Sin^2(X) with respect to X

'With respect to X' means we will be differentiating all the X parts (To put it simply). First we show that the differential of Sin(X) is Cos(X), we can show this graphically using the whiteboard. Then we sh...
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Answered by Thomas H. • Maths tutor
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