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Express 2cos(x) + 5sin(x) in the form Rsin(x + a) where 0<a<90

Expanding Rsin(x + a): Rsin(x + a) = Rsin(x)cos(a) + Rcos(x)sin(a) Comparing coefficients of sin(x), cos(x) with first expression leads to: Rsin(a) = 2, Rcos(a) = 5 Dividing these equations gives: tan(a) ...

DH
Answered by Dan H. Maths tutor
10954 Views

How to approach an essay question?

The first step is to read and re-read the question. Work out EXACTLY what the question is asking you for, and what the examiner might want. Remember, you get marks for content, accuracy and structure. The...

MS
Answered by Meriel S. French tutor
2024 Views

if -3 + -4 is -7, is -3 x -4 =-12 (also negative)

I would use the x-y graph to explain the multiplication of negative numbers

I would also start with 4 x 3, then work my way towards negative numbers, e.g 4x2, 4x1 ......4x-1, 4x-2

Then I wou...

SK
Answered by Syeda K. Physics tutor
1677 Views

How do I compare my wider reading to an unseen text?

Essentially, there are four main channels of comparison. Form, structure, language and historical/literary context. It is important to highlight the similarities between the unseen text and your wider rea...

MS
3424 Views

How do you calculate an empirical formula

An empirical formula is the simplest ratio of atoms of each element in a compound. You will be given either the mass of each element in the compound or the % mass. 1. Divide each mass (or % mass) by the a...

TS
Answered by Tanisha S. Chemistry tutor
6472 Views

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