further trigonometry identities

21
Further Trigonometry Identities Multiple Angles

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This presentation shows how sum and difference of angles formula are derived. It also features doubled-angled formula and other trigonometry formulas.

TRANSCRIPT

Page 1: Further trigonometry identities

Further Trigonometry IdentitiesMultiple Angles

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Solve the following equations for the angles between 0° and 360° inclusive

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Simplifying trigonometry

as

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taking R positive

Expand it as sum of angles

By association

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where and

is acute

are positive

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Further Trigonometry IdentitiesFACTOR FORMULAE

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Express the following as a product of trigonometrical functions:

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Prove that