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Solve 2sec^2(x) = 3 + tan(x) for 0 < x <pi/2

Make use of identity sech^2(x) = tan^2(x) + 1 =&gt; 2{tan^2(x) + 1} = 3 + tan(x) Multiply out brackets and rearrange =&gt; 2tan^2(x) - tan(x) - 1 = 0 Use quadratic formula with a = 2, b = -1, c = -1 =&gt; ta...
RM
Answered by Robert M. • Maths tutor
9002 Views

How do I revise for my Maths GCSE exam?

Firstly, ensure that you have all of the notes from class (or from tutoring sessions) from throughout the year. If you do not have all of the topics that are covered in the exam in your book, then you need t...
NB
Answered by Nathan B. • Maths tutor
4656 Views

What are stationary points and how do I find them?

If you have a differentiable function, stationary points are, by definition, those points where the derivative of the function is 0. Considering that the derivative of a function represents the rate of incre...
SG
Answered by Stefania G. • Maths tutor
9834 Views

How to differentiate a function?

Let's look at the function y = 3x^2 + 6x + 3. Differentiating it gives us the derivative of y: dy/dx = 6x + 6. The original function has three terms. Let's look at each term: 3x^2 (^2 means to the power of 2...
ES
Answered by Edmunds S. • Maths tutor
8952 Views

Find ∫(8x^3 + 4) dx

∫(8x3 + 4) dx = (8x^4)/4 + 4x + c= 2x^4 + 4x + c
AI
Answered by Aikaterini I. • Maths tutor
10416 Views