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Starting with: 2tanθsinθ = 4 - 3cosθ . We can rewrite tanθ in terms of sinθ and cosθ.We know: tanθ = sinθ ÷ cosθ .By substituting we get: 2(sinθ ÷ cosθ)sinθ = 4 - 3cosθ .Let's multiply out by cosθ to get:...

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...

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 ou...

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 ...

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 ...