a. Express sin 3cos in the form Rsin( ), where R > 0 and
Question:
a. Express sinθ − 3cosθ in the form Rsin(θ − α ), where R > 0 and 0° < α < 90°.
Give the exact value of R and the value of α correct to 2 decimal places.
b. Hence solve the equation sinθ − 3cosθ = −2 for 0°< θ <360°.
c. Find the greatest possible value of 1+ sin2θ − 3cos 2θ as θ varies and determine the smallest positive value of θ for which this greatest value occurs.
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Step by Step Answer:
a We can rewrite sin 3cos as Rsin using the following steps sin 3cos Rsin First lets find R R sin 3c...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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