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Given that (cos(x)^2 + 4 sin(x)^2)/(1-sin(x)^2) = 7, show that tan(x)^2 = 3/2

First, we use 1 - sin(x)^2 = cos(x)^2 and get:(LHS) (cos(x)^2 + 4 sin(x)^2)/(1-sin(x)^2)= (cos(x)^2 + 4 sin(x)^2)/cos(x)^2= 1 + 4 (sin(x)/cos(x))^2= 1 + 4 tan(x)^2Now we know that the left hand side is equal...
BM
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How do I add fractions?

When adding fractions, the denominators (the numbers at the bottom of the fractions) m ust be the same. If they are already the same, then you simply add the numerators (the numbers at the top of the fractio...
KH
Answered by Katie H. • Maths tutor
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Can you make 'p' the subject of the following equation? 4(p-2q)= 3p+2

When a question asks you to make something the subject of an equation, it is asking you to rearrange it to get it in the form of, for example when 'p' is the subject, 'p = ....' First we want to expand the b...
SM
Answered by Sarah M. • Maths tutor
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Find the coordinates of the minimum point of the curve y = 3x^(2) + 9x + 10

(Note: in this answer I will use the notation y' to represent the differential of y, and by the same reasoning y'' denotes the differential of y', or the second derivative of y.) A curve's maximum or minimum...
JF
Answered by James F. • Maths tutor
28090 Views

Find the inverse of y = 2x+1/ x-1

the aim of finsing the inverse is making x the subject. To start we need to multiply both sides by: (x-1), giving us:y(x-1) = 2x+1now we need to expand the brackets:yx - y = 2x+1now gather all the x componen...
AS
Answered by Amelia S. • Maths tutor
12194 Views