a. Express 4sin 6 cos in the form Rsin( ), where R > 0 and

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a. Express 4sinθ − 6 cosθ in the form Rsin(θ − α), where R > 0 and 0° < α < 90°.

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

b. Hence solve the equation 4sinθ − 6cosθ = 3 for 0° < θ < 180°.

c. Find the greatest and least values of (4sinθ − 6 cosθ)² − 3 as θ varies.

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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 4sin 6 cos in the form Rsin( ), where R > 0 and

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We can start by using the identity sin sincos cossin and cos coscos sinsin 4sin 6cos 22sin 3cos We c...View the full answer

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

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