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

Question:

a. Express cosθ − sinθ in the form Rcos(θ +α ), where R > 0 and < α < π/2.

Give the exact values of R and α.

b. Show that one solution of the equation

and find the other solution in the interval 0 < θ < 2π.

c. State the set of values of k for which the equation cosθ− sinθ = k has any solutions.

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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 sin in the form Rcos( + ), where R > 0 and <

Question:

1 = = = √6 cos sin 0 = √6 is 0 = 19T 12

Step by Step Answer:

ANSWER a We have cos sin 22cos4cos sin4sin Using the identity cosA B cosAcosB sinA...View the full answer

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

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