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Show that 2cos^2(x) = 2 - 2sin^2(x) and hence solve 2cos^2(x) + 3sin(x) = 3 for 0<x<180

You can rearrange the equation to get 2cos^2(x)+2sin^2(x) = 2. This can be factorised to get cos^2(x) + sin^2(x) = 1 which is a known identity. We can use the fact that 2cos^2(x) = 2sin^2(x) - 2 and substitu...
MR
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Solve the simultaneous equations: x + 3y = 26 and x - 3y = -22

You want to try and get rid of one of the letters from the equations. To do this you need to add a certain number of one equation into the other so that one of the letters cancel out. In the question above f...
MR
Answered by Matt R. • Maths tutor
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How does the writer use language here to describe the narrator’s fright and confusion? You could include the writer’s choice of: words and phrases , language features and techniques, sentence forms

Q2. Look in detail at this extract from lines 13 to 25 of the Source:&quot; Where were the officers and the crew? What were they doing? Towards the bow I saw some men running in the gloom. I thought I saw so...
MM
15153 Views

What do the interior angles in a hexagon add up to?

I would first ask the student to draw out a heptagon to check if they know what the shape is. (white board - drawing shape) Next i will ask them to start at one edge of the shape and ask them to draw a line ...
MK
Answered by Muhammad K. • Maths tutor
5678 Views

How does Shakespeare present the theme of Guilt in 'Macbeth'. Use Act 5 Scene 1 as a reference in your answer

Throughout Act 5 scene 5, Shakespeare presents Lady Macbeth's giult through her sleepwalking, particulary using the symbol of blood. The character is seen to repeatedly wash her hands, while saying &quot;Out...
CD
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