a. Express 5 sin 2 3 cos 2 + 6 sin cos
Question:
a. Express 5 sin2 θ − 3 cos2 θ + 6 sin θ cos θ in the form a sin 2θ + b cos 2θ + c, where a, b and c are constants to be found.
b. Hence find the maximum and minimum values of 5 sin2 θ − 3 cos2 θ + 6 sin θ cos θ.
c. Solve 5 sin2 θ − 3 cos2 θ + 6 sin θ cos θ = −1 for 0 < θ, 180°, rounding your answers to 1 decimal place.
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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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