Top answers

Show that (1 - cos(2x)) / (1 + cos(2x)) = sec^2(x) - 1

First, take the side of the equation that looks most complicated because it often needs simplifying. This is the LHS in this case. The LHS has cos(2x) twice - therefore the double angle formula probably appl...
LG
Answered by Louis G. • Maths tutor
7324 Views

Integrate 5(x + 2)/(x + 1)(x + 6) with respect to x

This term cannot be integrated in the form that it is in. We will have to do some algebraic manipulation to rewrite it. The term can be split into partial fractions because the denominator of the term has be...
LP
Answered by Lata P. • Maths tutor
3628 Views

Find the stationary point of the curve y = -2x^2 + 4x.

Firstly, since we have a negative coefficient of x^2, we know we are looking for a maximum point. It is also always helpful to draw a sketch so you know what's going on. Whiteboard sketch. Now to find the st...
LJ
Answered by Luke J. • Maths tutor
6352 Views

The Curve C has equation y = 3x^4 - 8x^3 - 3. Find dy/dx.

The question is asking us to differentiate the equation y = 3x^4 - 8x^3 - 3. To differentiate this equation, we must differentiate term-by-term. In order to differentiate a term, we must multiply the coeffic...
DC
Answered by Dharmik C. • Maths tutor
6890 Views

A store is having a sale on sofas. One sofa was originally £400 but is reduced by 60% in the sale. What is the price of the sofa in the sale?

There are several ways to work out percentages. First however we have to determine 60% of 400 before we subtract it. So an easy way to do this is work out 10% of 400, which is 40 as we just divide 400 by 10,...
LJ
Answered by Luke J. • Maths tutor
3845 Views