a Express cos 3 sin in the form Rcos( ), where R 0 and 0 2 Give the exact values of R and b Hence prove that 1 (cose (3sine) sec0 ...

a We can use the identity cos cos cos sin sin to rewrite cos 3 sin as cos 3 sin Rcos cos sin ...

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

Question:

a. Express cos θ + √3 sinθ in the form Rcos(θ - α), where R > 0 and 0 < α < π/2.

Give the exact values of R and α.

b. Hence prove that

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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 07:17 AM

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

Question:

1 (cose + (3sine) sec²0 -

Step by Step Answer:

a We can use the identity cos cos cos sin sin to rewrite cos 3 sin as cos 3 sin Rcos cos sin ...View the full answer

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

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