a. Express 7 cos 24 sin in the form R cos ( + ),
Question:
a. Express 7 cos θ − 24 sin θ in the form R cos (θ + α), with R > 0 and 0 < α < 90°.
b. The graph of y = 7 cos θ − 24 sin θ meets the y-axis at P. State the coordinates of P.
c. Write down the maximum and minimum values of 7 cos θ − 24 sin θ.
d. Deduce the number of solutions, in the interval 0 < θ < 360°, of the following equations:
i. 7 cos θ − 24 sin θ = 15
ii. 7 cos θ − 24 sin θ = 26
iii. 7 cos θ − 24 sin θ = −25
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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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