Lesson 7 · Height and Distance

Submultiple Angles Presentation

Optional MathematicsSubject
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Optional Mathematics, Class 10: Trigonometry

Submultiple Angles

A/2 and A/3 · sin A, cos A, tan A · Worked proofs

By the end of this lesson you can

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Say what a submultiple angle is and give examples

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Write sin A, cos A and tan A in terms of A/2

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Write sin A, cos A and tan A in terms of A/3

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Find values such as sin 15° and prove identities

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Cut an angle A into 2, 3, 4 equal parts. Each part, A/2, A/3, A/4, is a submultiple angle of A.

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Presenter notes: Today we look at angles that are equal parts of a bigger angle, and we write the ratios of the big angle using the ratios of its parts.