Pre-Calc/Trig Unit 3: Analytic Trig and Applications/5.3 and 5.4 Sum//Difference Identities Find the exact value by using a sum or difference identity.sin 15° Find the exact value by using a sum or difference identity.

sin 15°

]]> 1.0000000 0.3333333 0 true true abc

]]> 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 Correct

]]>

]]> 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 Incorrect.  Think of 15 as 45 - 30.

]]>

]]> 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 Incorrect.  Think of 15 as 45 - 30.

]]>

]]> 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 Incorrect.  Think of 15 as 45 - 30.

]]>