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Given that 4(cosec x)^2 - (cot x)^2 = k, express sec x in terms of k.

This question makes good use of the trigonometric identities tan 2 x + 1 = sec 2 x and 1 + cot 2 x = cosec 2 x which can be easily recited in the exam by using the identity sin 2 x + cos 2 x = 1 and then div...
DS
Answered by Dan S. • Maths tutor
13206 Views

Find the gradient of the line 4x+9y=10.

There are two approaches to this problem. Firstly, you could rearrange the equation so that you have the general equation of a line, y=mx+c, where m is the gradient that you are looking for! When we rearrang...
DS
Answered by Dan S. • Maths tutor
5255 Views

Define the terms "acceleration" and "displacement". Explain simple harmonic motion with reference to both of these quantities.

Firstly, acceleration is the rate of change of velocity of an object, measured in ms -2 (read as metres per second squared, or metres per second per second). It can be either positive, indicating an increase...
HO
Answered by Hannah O. • Physics tutor
10682 Views

What is Jeremy Bentham's theory of Utilitarianism?

Utilitarianism is a normative theory of ethics devised by philosopher Jeremy Bentham that rests on the 'Principle of Utility'; the idea that the right action is that which results in the greatest amount of h...
ON
9903 Views

In my personal statement should I talk about what I want to do after university?

If you have a clear idea of what you want to do in future then mentioning it will make you sound ambitious which is a great way to get the admissions team's attention. It will give the impression that you ar...
JF
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