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Express asin(x) + bcos(x) in the form Rsin(x+c), where c is a non-zero constant.

The trick to solving this is to use the trig identity sin(a+b) = sin(a)cos(b) + sin(b)cos(a) From the identity above, we can write rewrite Rsin(x+c) as follows: Rsin(x+c)...

LH
Answered by Louis H. Maths tutor
6602 Views

Integral of a compound equation (or otherwise finding the area under a graph): f(x) = 10x*(x^(0.5) - 2)

This can be done 'by parts' or by expanding. In this case it would be easier to expand as it is possible to deal with terms individually here.
This becomes: 10xx1/2 - 10x2
...

RD
Answered by Roden D. Maths tutor
3418 Views

By forming and solving a quadratic equation, solve the equation 5*cosec(x) + cosec^2(x) = 2 - cot^2(x) in the interval 0<x<2*pi, giving the values of x in radians to three significant figures.

To solve the equation given in the question, we must first express the given equation in terms of only one trigonometric function, i.e. either all in cosec or all in cot. The easiest route would be cosec,...

NM
Answered by Nadia M. Maths tutor
8279 Views

I've just heard about objects. How do I use them and do they work with Arrays?

JavaScript objects are collections of data with key-value pairs. A 'key' is a label for a bit of data. In the example below; name, age and hobbies are all keys. A 'value' is the bit of data you want to st...

SM
1319 Views

What does it mean to say that a philosophical theory is deontological?

Deontoligoal ethics, also known as duty-based ethics, are concerned with what people do, not with the consequences of their actions. Deontology teaches that some actions are right or wrong in themselves, ...

SN
Answered by Svenja N. Philosophy tutor
2511 Views

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