i. Show that cos 4 x 1 2 sin 2 x + sin 4 x.
Question:
i. Show that cos4x ≡ 1 − 2 sin2x + sin4x.
ii. Hence, or otherwise, solve the equation 8sin4x + cos4x = 2 cos2x for 0° < x < 360°.
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i We can use the identity cos2x 1 sin2x to rewrite cos4x as follows cos4x cos2x2 1 sin2x2 Expanding ...View the full answer
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Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
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