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Write 9sin(x) + 12 cos(x) in the form Rsin(x+y) and hence solve 9sin(x) + 12 cos(x) = 3

9sin(x) + 12 cos(x) = Rsin(x+y) =R(sin(x)cos(y)+cos(x)sin(y))= (Rcos(y))sin(x) + (Rsin(y))cos(x)Therefore by matching the coefficientsRsin(y)=12, Rcos(y)=9 [1]SoRsin(y)/Rcos(y) = 12/9 = 4/3, therefore tan(y)...
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Answered by James H. • Maths tutor
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"In spite of more than US$1 trillion in aid to Africa over the last 50 years, GDP per capita growth in Africa decreased and was for many years even measured in negative figures. Aid is more of a hindrance to LEDCs". Discuss.

With any question of this sort it is important to try to break it down and answer it logically. However, it is equally important to arrive at a conclusion with a clear position on the statement that is outli...
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Answered by Angus P. • Geography tutor
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'Economic successes was the most important reason for Conservative electoral dominance in the period from 1951-64.' How far do you agree?

When given an essay question, the best place to start is by reading the question carefully, by picking out key words and any assumptions the question appears to be making. In this particular example, the phr...
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Answered by Joanna G. • History tutor
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Explain the trend in melting points of the period 3 elements

There are four main areas we need to consider in answering this question. The first is Sodium, Magnesium and Aluminium. These are all metals and so have a metallic bonding structure. As you go across the per...
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Answered by Lloyd M. • Chemistry tutor
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When analysing an unseen poem, how can I relevantly link the form and structure of the text to my answer?

A good way of tackling this can be to go against instinct and look at the form and structure of the text first, and what this might tell us about the poem, before we read to analyse the language and themes. ...
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