a. Express 3sin + 4 cos in the form Rsin( + ) , where R
Question:
a. Express 3sinθ + 4 cos θ in the form Rsin(θ + α ) , where R > 0 and 0° < ,90°.
Give the value of α correct to 2 decimal places.
b. Hence solve the equation 3sinθ + 4 cosθ = 2 for 0° < θ < 360°.
c. Find the least value of 3sinθ + 4 cosθ + 3 as θ varies.
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Step by Step Answer:
a We can use the following identities Rsin Rcos sin Rsin cos Comparing this to 3sin ...View the full answer
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Related Book For 
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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