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Question

∣ ∣ ∣sin223sin267cos180sin267sin223cos2180cos180sin223sin267∣ ∣ ∣


Solution

∣ ∣ ∣sin223sin267cos180sin267sin223cos2180cos180sin223sin267∣ ∣ ∣
cos 180=1
=∣ ∣ ∣sin223sin2(9023)1sin267sin2(9067)(1)21sin223sin2(9023)∣ ∣ ∣
=∣ ∣ ∣sin223cos2231sin267cos26711sin223cos223∣ ∣ ∣C1C1+C2+C3
=∣ ∣ ∣11COS22312cos26711+1sin223cos223∣ ∣ ∣=∣ ∣ ∣0cos22312cos26710sin223cos223∣ ∣ ∣
=cos223(2cos2230)1(2sin223)=2cos4232sin223=2[cos423+sin223]

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