Given that 7 cos 2 + 24 sin 2 R cos (2 ), where R
Question:
Given that 7 cos 2θ + 24 sin 2θ ≡ R cos (2θ − α), where R > 0 and 0 < α < π < 2 , find:
a. The value of R and the value of α, to 2 decimal places.
b. The maximum value of 14 cos2 θ + 48 sin θ cos θ.
c. Solve the equation 7 cos 2θ + 24 sin 2θ = 12.5, for 0 ≤ θ ≤ 180°, giving your answers to 1 decimal place.
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Lets solve the given problems step by step a The given equation is 7 cos2 24 sin2 R cos2 Comparing the coefficients of cos2 and sin2 we get 7 R cos2 2...View the full answer
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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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