i Show that cos 4 x 1 2 sin 2 x sin 4 x ii Hence, or otherwise, solve the equation 8sin 4 x cos 4 x 2 cos 2 x for 0 x 360 ...

i We can use the identity cos2x 1 sin2x to rewrite cos4x as follows cos4x cos2x2 1 sin2x2 Expanding ...

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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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

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Question Posted: Mar 10, 2023 06:35 AM

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i. Show that cos 4 x 1 2 sin 2 x + sin 4 x.

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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

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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