i Express cos x 3 sin x in the form R cos (x ), where R 0 and 0 90, giving the exact value of R and the value of correct to 2 decimal places ii Hence solve the equation cos 2 3sin 2 2, for 0 90 ...

i To express cos x 3 sin x in the form R cos x we need to find values for R and such that cos x 3 si ...

i. Express cos x + 3 sin x in the form R cos (x ), where

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i. Express cos x + 3 sin x in the form R cos (x − α), where R > 0 and 0° < α < 90°, giving the exact value of R and the value of α correct to 2 decimal places.
ii Hence solve the equation cos 2θ + 3sin 2θ = 2, for 0° < θ < 90°.

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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 07:16 AM

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i. Express cos x + 3 sin x in the form R cos (x ), where

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

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