a. Express 12 sin x + 5 cos x in the form R sin (x + ),

Question:

a. Express 12 sin x + 5 cos x in the form R sin (x + α), where R and α are constants, R > 0 and 0 < α < 90°. Round α to 1 decimal place.

A runner’s speed, v in m/s, in an endurance race can be modelled by the equation.

where x is the time in minutes since the beginning of the race.

b. Find the minimum value of v.

c. Find the time into the race when this speed occurs.

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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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Question Posted: Aug 12, 2023 05:26 AM

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a. Express 12 sin x + 5 cos x in the form R sin (x + ),

Question:

50 2x 2x 12 sin (²) + 5 cos (²) 5 5 v(x) = - 0≤x≤300

Step by Step Answer:

a Given the phrase 12 sin x 5 cos x we want to represent it in the manner R sin x Let us employ the ...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

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