a Use the identity cos (A B) cos A cos B sin A sin B, to show that cos 2A 2 cos 2 A 1 b Show that the x coordinates of the points where C 1 and C 2 intersect satisfy the equation cos 2x 3 sin 2x 3 0 The curves C and C have equations C y 4 cos 2x C y 6 cosx 3 sin 2x...

a cos 2A cos A cos A sin A sin A cos A sin A ...

a. Use the identity cos (A + B) cos A cos B sin A sin

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a. Use the identity cos (A + B) ≡ cos A cos B − sin A sin B, to show that cos 2A ≡ 2 cos² A − 1

b. Show that the x-coordinates of the points where C₁and C₂ intersect satisfy the equation cos 2x + 3 sin 2x − 3 = 0

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

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a. Use the identity cos (A + B) cos A cos B sin A sin

Question:

The curves C₁ and C₂ have equations C₁: y = 4 cos 2x C₂: y = 6 cos²x-3 sin 2x

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

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