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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 tan2x + 1 = sec2x and 1 + cot2x = cosec2x which can be ...

DS
Answered by Dan S. Maths tutor
12796 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 f...

DS
Answered by Dan S. Maths tutor
4923 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, indicatin...

HO
Answered by Hannah O. Physics tutor
9859 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 amoun...

ON
9153 Views

What is elasticity of demand

First, think of 'elasticity' as a general word.it means "ability stretch". Therefore elasticity of demand could be understood to be how demand of a certain commodity strecthes or reacts in re...

CO
Answered by Cynthia O. Economics tutor
2756 Views

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