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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
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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
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is your child lost in math ?

As a university student i know all about the right address that pupils need i can really help them understand math
JL
Answered by Jack L. Maths tutor
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Exponential Growth Equations

The number of bacteria on Agar plate A is given by the equation n=400(2^d), where d is equal to the number of cellular divisons each cell has undergone. If the cells divides every 2 minutes, how many seconds...
JS
Answered by John S. Maths tutor
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What is the range of solutions for the inequality 2(3x+1) > 3-4x?

When it comes to answering questions about inequalities, it is important to remember the signs and what they represent. In this instance, we need to find a range of solutions where 2(3x+1) is greater than 3-...
LB
Answered by Lara B. Maths tutor
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