Given that p(x) = R cos (2 + ), where R > 0 and 0 <
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Given that p(x) = R cos (2θ + α), where R > 0 and 0 < α < 90°, p(x) = 12 cos 2θ − 5 sin 2θ.
a. Find the value of R and the value of α.
b. Hence solve the equation 12 cos2 θ − 5 sin 2θ = −6.5 for 0 ≤ α < 180°.
c. Express 24 cos2 θ − 10 sin θ cos θ in the form a cos2 θ + b sin 2θ + c, where a, b and c are constants to be found.
d. Hence, or otherwise, find the minimum value of 24 cos2 θ − 10 sin θ cos θ.
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Related Book For
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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