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Year 12 Specialist (Unit 3 & 4) Trigonometric functions

Sums and products of sines and cosines

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Question 1
19083

Express :

i) \(\sin 70^\circ \sin 30^\circ \) in the form \(\frac{1}{2}\left( {\cos A - \cos B} \right)\).

ii) \(\sin 70^\circ + \sin 30^\circ \) in the form \(2\sin A\cos B\).

i) \(\dfrac{1}{2}(\cos 40^\circ + \cos 80^\circ )\)

ii) \(2\sin 50^\circ \cos 20^\circ \)

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