a Express 2 cos 3sin in the form Rcos( ), where R 0 and 0 90 Give the exact value of R and the value of correct to 2 decimal places b Hence solve the equation 2 cos 3sin 1 3 for 0 360 ...

a We can use the identity cos cos cos sin sin to write 2 cos 3 sin R cos where R 2 3 13 a ...

a. Express 2 cos 3sin in the form Rcos( + ), where R . 0 and 0

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a. Express 2 cosθ− 3sinθ in the form Rcos(θ + α), where R . 0 and 0° < α <90°.

Give the exact value of R and the value of α correct to 2 decimal places.

b. Hence solve the equation 2 cosθ − 3sinθ = 1.3 for 0° < θ < 360°.

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Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

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Question Posted: Mar 14, 2023 07:18 AM

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a. Express 2 cos 3sin in the form Rcos( + ), where R . 0 and 0

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a We can use the identity cos cos cos sin sin to write 2 cos 3 sin R cos where R 2 3 13 a...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

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