8sinϴ x cosϴ x cos2ϴxcos4ϴ
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Answer:
we known: sin 2@=2 sin@ cos@
8 sin@ cos@ cos2@ cos4@=sin x
2 2 (2 sin@ cos@) cos2@ cos4@=sin x
2 (2 (sin2@) cos2@) cos4@=sin x
2 sin4@ cos4@=sin x
sin 8@=sin x
(@=theta)
∴ x = 8 theta
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